Research publications from Juan Luis Varona
Welcome to
Juan L. Varona
web pages.
Here you can download most of my research articles and related material,
such as chapters of books and proceedings of conferences, my Ph. D. thesis,...
(actually, some of the papers in the below list are, mainly,
mathematical divulgation; especially, those written in Spanish).
Unless otherwise stated, all of them are .pdf and/or .tex files,
perhaps compressed. In most cases, links to the final published
version are also provided.
Please, send me a message
if you try to download a file without success.
Note that some papers can have an appearance and a format different
to those used in the corresponding journal. Also, perhaps the final version
in the journal may have some English and other minor changes.
External links to some pages in databases of papers and/or reviews:
MathSciNet (AMS),
zbMATH Open (Zentralblatt MATH),
ORCID,
ResearchGate,
Google Scholar,
Scopus,
Publons,
Dialnet,
Documat,
Portal de investigación de la Universidad de La Rioja.
Some of my coauthors have their own web pages:
Fernando Albiac,
Wolfgang Creyaufmüller,
Antonio J. Durán,
Armengol Gasull,
T. Alastair Gillespie,
José Manuel Gutiérrez,
José María Grau,
Andrew N. W. Hone,
Carlos Lizama,
Florian Luca,
Gunar Matthies,
Mario Pérez,
Luz Roncal,
Mehdi Salimi,
Eduardo Sáenz de Cabezón,
Krzysztof Stempak,
Pablo Raúl Stinga,
Paul Zimmermann.
Papers in journals
- A. J. Durán, A. Gil Asensi and J. L. Varona,
Moment problems associated to the Dunkl factorial,
Proc. Amer. Math. Soc., to appear.
— Download:
tex,
pdf,
link.
- A. Gil Asensi, J. Mínguez Ceniceros and J. L. Varona,
Sheffer-Dunkl sequences via umbral calculus in the Dunkl context,
Bull. Malays. Math. Sci. Soc. 47 (2024), Paper No. 172, 28 pp.
— Download:
tex,
pdf,
link.
- J. L. Varona,
Un millón de casos no bastan: hace falta una demostración,
MATerials MATemàtics
2024 (2024), no. 6, 35 pp.
— Download:
tex,
pdf,
link (in Spanish).
- J. L. Varona,
Suma de potencias de enteros consecutivos,
Lva2
1 (2024), 73-80.
— Download:
tex,
pdf,
link (in Spanish).
- A. J. Durán, M. Pérez and J. L. Varona,
How to compute multivariate Bessel expansions,
Ramanujan J.
64 (2024), 721-759.
— Download:
tex,
pdf,
link.
- A. J. Durán, M. Pérez and J. L. Varona,
Summing Sneddon-Bessel series explicitly,
Math. Meth. Appl. Sci.
47 (2024), 6590-6606.
— Download:
tex,
pdf,
link.
- A. J. Durán, M. Pérez and J. L. Varona,
Series de productos de senos (y cosenos),
Gac. R. Soc. Mat. Esp.
27 (2024), 87-119.
— Download:
tex,
pdf,
link (in Spanish).
- A. Gil Asensi, E. Labarga, J. Mínguez Ceniceros and J. L. Varona,
Boole-Dunkl polynomials and generalizations,
Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. RACSAM
118 (2024), Paper No. 16, 18 pp.
— Download:
tex,
pdf,
link.
- A. Gil Asensi and J. L. Varona,
A general method to find special functions that interpolate Appell polynomials, with examples,
J. Math. Anal. Appl.
531 (2024), 127825, 18 pp.
— Download:
tex,
pdf,
link.
- A. Gasull, F. Luca and J. L. Varona,
Three essays on Machin's type formulas,
Indag. Math. (N.S.)
34 (2023), 1373-1396.
— Download:
tex,
pdf,
link.
- A. Gil Asensi and J. L. Varona,
Appell-Dunkl sequences and Hurwitz-Dunkl zeta functions,
J. Math. Anal. Appl.
520 (2023), 126870, 40 pp.
— Download:
tex,
pdf,
link.
- J. Mínguez Ceniceros and J. L. Varona,
Stirling-Dunkl numbers,
J. Math. Anal. Appl.
518 (2023), 126698, 17 pp.
— Download:
tex,
pdf,
link.
- J. M. Grau, A. M. Oller-Marcén and J. L. Varona,
A class of weighted Delannoy numbers,
Filomat
36 (2022), 5985-6007.
— Download:
tex,
pdf,
link.
- J. L. Varona,
La función peine de Dirichlet y algunas funciones patológicas similares: propiedades analíticas y diofánticas,
MATerials MATemàtics
2022 (2022), no. 5, 20 pp.
— Download:
tex,
pdf,
link (in Spanish).
- J. L. Varona,
La razón áurea y las medias metálicas en el salino de Arquímedes,
Gac. R. Soc. Mat. Esp.
25 (2022), 326.
— Download:
tex,
pdf,
link (in Spanish).
- J. L. Varona,
An optimal thirty-second-order iterative method for solving nonlinear equations and a conjecture,
Qual. Theory Dyn. Syst.
21 (2022), article 39, 21 pp.
— Download:
tex,
pdf,
link.
— Mathematica files to check the order and to generate the graphics:
notebooks.
- A. J. Durán, M. Pérez and J. L. Varona,
A method for summing Bessel series and a couple of illustrative examples,
Proc. Amer. Math. Soc.
150 (2022), 763-778.
— Download:
tex,
pdf,
link.
- J. I. Extremiana Aldana, E. Labarga, J. Mínguez Ceniceros and J. L. Varona,
Discrete Appell-Dunkl sequences and Bernoulli-Dunkl polynomials of the second kind,
J. Math. Anal. Appl.
507 (2022), 125832, 20 pp.
— Download:
tex,
pdf,
link.
- J. Mínguez Ceniceros and J. L. Varona,
Asymptotic behavior of Bernoulli-Dunkl and Euler-Dunkl polynomials and their zeros,
Funct. Approx. Comment. Math.
65 (2021), 211-226.
— Download:
tex,
pdf,
link.
- A. J. Durán, M. Pérez and J. L. Varona,
On the properties of zeros of Bessel series in the real line,
Integral Transforms Spec. Funct.
32 (2021), 912-931.
— Download:
tex,
pdf,
link.
- J. L. Varona,
On the solution of the equation $n = ak + bp_k$ by means of an iterative method,
J. Integer Seq.
24 (2021), article 21.10.5, 12 pp.
— Download:
tex,
pdf,
link.
- J. L. Varona,
A couple of transcendental prime-representing constants,
Amer. Math. Monthly
128 (2021), 922-928.
— Download:
tex,
pdf,
link.
- A. N. W. Hone and J. L. Varona,
Continued fractions for strong Engel series and Lüroth series with signs,
Acta Arith.
199 (2021), 55-75.
— Download:
tex,
pdf,
link.
- E. Sáenz de Cabezón and J. L. Varona,
The sum of the reciprocals of pandigital numbers,
Math. Mag.
94 (2021), 213-214.
— Download:
tex,
pdf,
link.
- D. Sadornil and J. L. Varona,
Existen infinitos primos (desde Euclides hasta el siglo XXI),
Gac. R. Soc. Mat. Esp.
24 (2021), 301-324.
— Download:
tex,
pdf,
link (in Spanish).
- L. M. Navas, F. J. Ruiz and J. L. Varona,
A connection between power series and Dirichlet series,
J. Math. Anal. Appl.
493 (2021), article 124541, 18 pp.
— Download:
tex,
pdf,
link.
- J. M. Gutiérrez and J. L. Varona,
Superattracting extraneous fixed points and $n$-cycles for Chebyshev's method on cubic polynomials,
Qual. Theory Dyn. Syst.
19 (2020), article 54, 23 pp.
— Download:
tex,
pdf,
link.
- J. L. Varona,
En recuerdo de Srinivasa Ramanujan (1887-1920).
¿De cuántas formas podemos sumar 176 votos?,
Gac. R. Soc. Mat. Esp.
23 (2020), 134.
— Download:
tex,
pdf,
link (in Spanish).
- A. J. Durán, M. Pérez and J. L. Varona,
Polinomios con raíces entrelazadas,
MATerials MATemàtics
2019 (2019), no. 3, 9 pp.
— Download:
tex,
pdf,
link (in Spanish).
- A. N. W. Hone and J. L. Varona,
Continued fractions and irrationality exponents for modified Engel and Pierce series,
Monatsh. Math.
190 (2019), 501-516.
— Download:
tex,
pdf,
link.
- L. M. Navas, F. J. Ruiz and J. L. Varona,
Existence and reduction of generalized Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials,
Arch. Math. (Brno)
52 (2019), 157-165.
— Download:
tex,
pdf,
link.
- L. M. Navas, F. J. Ruiz and J. L. Varona,
A note on Appell sequences, Mellin transforms and Fourier series,
J. Math. Anal. Appl.
476 (2019), 836-850.
— Download:
tex,
pdf,
link.
- Ó. Ciaurri, J. Mínguez Ceniceros and J. L. Varona,
Bernoulli-Dunkl and Euler-Dunkl polynomials and their generalizations,
Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. RACSAM
113 (2019), 2853-2876.
— Download:
tex,
pdf,
link.
- A. J. Durán, M. Pérez and J. L. Varona,
Fourier-Dunkl system of the second kind and Euler-Dunkl polynomials,
J. Approx. Theory
245 (2019), 23-39.
— Download:
tex,
pdf,
link.
- F. Albiac, J. L. Ansorena, Ó. Ciaurri and J. L. Varona,
Unconditional and quasi-greedy bases in $L_p$ with applications to Jacobi polynomials Fourier series,
Rev. Mat. Iberoam.
35 (2019), 561-574.
— Download:
tex,
pdf,
link.
- J. L. Varona,
Cálculo del determinante de Vandermonde con ayuda de un polinomio,
Gac. R. Soc. Mat. Esp.
22 (2019), 144.
— Download:
tex,
pdf,
link (in Spanish).
- J. A. Torné and J. L. Varona,
The Lindemann theorem for matrices,
Amer. Math. Monthly
125 (2018), 939-940.
— Download:
tex,
pdf,
link.
- Ó. Ciaurri, E. Fernández and J. L. Varona,
El producto de Wallis y $\Gamma(1/2) = \sqrt{\pi}$ son lo mismo,
Gac. R. Soc. Mat. Esp.
21 (2018), 566.
— Download:
tex,
pdf,
link (in Spanish).
- Ó. Ciaurri, A. J. Durán, M. Pérez and J. L. Varona,
Bernoulli-Dunkl and Apostol-Euler-Dunkl polynomials with applications to series involving zeros of Bessel
functions,
J. Approx. Theory
235 (2018), 20-45.
— Download:
tex,
pdf,
link.
- Ó. Ciaurri, L. Roncal, P. R. Stinga, J. L. Torrea and J. L. Varona,
Nonlocal discrete diffusion equations and the fractional discrete Laplacian, regularity and applications,
Adv. Math.
330 (2018), 688-738.
— Download:
tex,
pdf,
link.
- L. M. Navas, F. J. Ruiz and J. L. Varona,
Appell polynomials as values of special functions,
J. Math. Anal. Appl.
459 (2018), 419-436.
— Download:
tex,
pdf,
link.
- J. L. Varona,
The continued fraction expansion of certain Pierce series,
J. Number Theory
180 (2017), 573-578.
— Download:
tex,
pdf,
link.
- Ó. Ciaurri, T. A. Gillespie, L. Roncal, J. L. Torrea and J. L. Varona,
Harmonic Analysis associated with a discrete Laplacian,
J. Anal. Math.
132 (2017), 109-131.
— Download:
tex,
pdf,
link.
- J. L. Varona,
Proof Without Words: $\ell^1(\mathbb{R})$ is a subset of $\ell^2(\mathbb{R})$,
Math. Mag.
90 (2017), 58.
— Download:
tex,
pdf,
link.
- Ó. Ciaurri and J. L. Varona,
Una función que, sin parecerlo, es constante en un intervalo,
Gac. R. Soc. Mat. Esp.
20 (2017), 212.
— Download:
tex,
pdf,
link (in Spanish).
- G. Matthies, M. Salimi, S. Sharifi and J. L. Varona,
An optimal three-point eighth-order iterative method without memory for solving nonlinear equations with its dynamics,
Jpn. J. Ind. Appl. Math.
33 (2016), 751-766.
— Download:
tex,
pdf,
link.
- J. L. Varona,
Una función invariante respecto a un grupo de transformaciones,
Gac. R. Soc. Mat. Esp.
19 (2016), 344.
— Download:
tex,
pdf,
link (in Spanish).
- L. M. Navas, F. J. Ruiz and J. L. Varona,
The Lerch transcendent from the point of view of Fourier Analysis,
J. Math. Anal. Appl.
431 (2015), 186-201.
— Download:
tex,
pdf,
link.
- Ó. Ciaurri, L. Roncal and J. L. Varona,
The multiplier of the interval $[-1,1]$ for the Dunkl transform of arbitrary order on the real line,
Integral Transforms Spec. Funct.
26 (2015), 728-736.
— Download:
tex,
pdf,
link.
- Ó. Ciaurri, C. Lizama, L. Roncal and J. L. Varona,
On a connection between the discrete fractional Laplacian and superdiffusion,
Appl. Math. Lett.
49 (2015), 119-125.
— Download:
tex,
pdf,
link.
- J. L. Varona,
$\zeta(2k)$ versus $\zeta(k)$: una relación geométrica en una espiral,
Gac. R. Soc. Mat. Esp.
18 (2015), 352.
— Download:
tex,
pdf,
link (in Spanish).
- Ó. Ciaurri, L. M. Navas, F. J. Ruiz and J. L. Varona,
A simple computation of $\zeta(2k)$,
Amer. Math. Monthly
122 (2015), 444-451.
— Download:
tex,
pdf,
link.
- A. J. Durán, M. Pérez and J. L. Varona,
Some conjectures on Wronskian and Casorati determinants of orthogonal polynomials,
Exp. Math.
24 (2015), 123-132.
— Download:
tex,
pdf,
link.
- L. M. Navas, F. J. Ruiz and J. L. Varona,
Some functional relations derived from the Lindelöf-Wirtinger expansion of the Lerch transcendent function,
Math. Comp.
84 (2015), 803-813.
— Download:
tex,
pdf,
link.
- A. Arenas, Ó. Ciaurri, E. Labarga, L. Roncal and J. L. Varona,
Series de Fourier no trigonométricas: una perspectiva familiar,
Zubía, Monográfico
26 (2014), 39-54.
— Download:
tex,
pdf,
link (in Spanish).
- A. J. Durán, M. Pérez and J. L. Varona,
The misfortunes of a trio of mathematicians using Computer Algebra Systems. Can we trust in them?,
Notices Amer. Math. Soc.
61 (2014), 1249-1252.
— Download:
tex,
pdf,
link.
— Chinese translation:
Mathematical Advances in Translation (2016), no. 4, 360-364:
pdf of the Chinese version.
— Comparison between Mathematica 7 and Mathematica 10:
notebooks.
- L. D. Abreu, Ó. Ciaurri and J. L. Varona,
The spectrum of the right inverse of the Dunkl operator,
Rev. Mat. Complut.
26 (2013), 471-483.
— Download:
tex,
pdf,
link.
- L. M. Navas, F. J. Ruiz and J. L. Varona,
Asymptotic behavior of the Lerch transcendent function,
J. Approx. Theory
170 (2013), 21-31.
— Download:
tex,
pdf,
link.
- L. D. Abreu, Ó. Ciaurri and J. L. Varona,
A $q$-linear analogue of the plane wave expansion,
Adv. in Appl. Math.
50 (2013), 415-428.
— Download:
tex,
pdf,
link.
- L. M. Navas, F. J. Ruiz and J. L. Varona,
Asymptotic estimates for Apostol-Bernoulli and Apostol-Euler polynomials,
Math. Comp.
81 (2012), 1707-1722.
— Download:
tex,
pdf,
link.
- L. M. Navas, F. J. Ruiz and J. L. Varona,
Old and new identities for Bernoulli polynomials via Fourier series,
Int. J. Math. Math. Sci.
2012, Art. ID 129126.
— Download:
tex,
pdf,
link.
- L. D. Abreu, Ó. Ciaurri and J. L. Varona,
Bilinear biorthogonal expansions and the Dunkl kernel on the real line,
Expo. Math.
30 (2012), 32-48.
— Download:
tex,
pdf,
link.
- J. M. Gutiérrez, Á. A. Magreñán and J. L. Varona,
The “Gauss-Seidelization” of iterative methods for solving nonlinear equations in the complex plane,
Applied Math. Comp.
218 (2011), 2467-2479.
— Download:
tex,
pdf,
link.
- L. M. Navas, F. J. Ruiz and J. L. Varona,
The Möbius inversion formula for Fourier series applied to Bernoulli and Euler polynomials,
J. Approx. Theory
163 (2011), 22-40.
— Download:
tex,
pdf,
link.
- Ó. Ciaurri, M. Pérez, J. M. Reyes and J. L. Varona,
Mean convergence of Fourier-Dunkl series,
J. Math. Anal. Appl.
372 (2010), 470-485.
— Download:
tex,
pdf,
link.
- Ó. Ciaurri and J. L. Varona,
An uncertainty inequality for Fourier-Dunkl series,
J. Comput. Appl. Math.
233 (2010), 1499-1504.
— Download:
tex,
pdf,
link.
- Ó. Ciaurri and J. L. Varona,
The surprising almost everywhere convergence
of Fourier-Neumann series,
J. Comput. Appl. Math.
233 (2009), 663-666.
— Download:
tex,
pdf,
link.
- J. L. Varona,
Differentiability of a pathological function, Diophantine approximation, and a reformulation of the Thue-Siegel-Roth theorem,
Austral. Math. Soc. Gaz.
36 (2009), 353-361.
— Download:
tex,
pdf,
link (complete issue).
- F. Luca and J. L. Varona,
Multiperfect numbers on lines of the Pascal triangle,
J. Number Theory
129 (2009), 1136-1148.
— Download:
tex,
pdf,
link.
- M. Benito and J. L. Varona,
Recursive formulas related to the summation of the Möbius function,
Open Math. J.
1 (2008), 25-34.
— Download:
tex,
pdf,
link.
- M. Benito, L. M. Navas and J. L. Varona,
Möbius inversion formulas for flows of arithmetic semigroups,
J. Number Theory
128 (2008), 390-412.
— Download:
tex,
pdf,
link.
- Ó. Ciaurri and J. L. Varona,
Transformadas de Dunkl y teoremas de muestreo,
Bol. Soc. Esp. Mat. Apl.
42 (2008), 103-115.
— Download:
tex,
pdf,
link (complete issue) (in Spanish).
- Ó. Ciaurri and J. L. Varona,
A Whittaker-Shannon-Kotel'nikov sampling theorem related to the Dunkl transform,
Proc. Amer. Math. Soc.
135 (2007), 2939-2947.
— Download:
tex,
pdf,
link.
— See also the poster presented at ICM2006:
pdf.
- J. L. Ansorena and J. L. Varona,
On a theorem of Erdős concerning additive functions,
Crux Mathematicorum
33 (2007), 294-296.
— Download:
tex,
pdf,
link.
- J. M. Aldaz and J. L. Varona,
Singular measures and convolution operators,
Acta Math. Sin. (Engl. Ser.)
23 (2007), 487-490.
— Download:
tex,
pdf,
link.
- J. J. Betancor, Ó. Ciaurri and J. L. Varona,
The multiplier of the interval $[-1,1]$ for the Dunkl transform on the real line,
J. Funct. Anal.
242 (2007), 327-336.
— Download:
tex,
pdf,
link.
- J. L. Varona,
Rational values of the arccosine function,
Cent. Eur. J. Math.
4 (2006), 319-322.
— Download:
tex,
pdf,
link.
- Ó. Ciaurri and J. L. Varona,
¿Podemos fiarnos de los cálculos efectuados con ordenador?,
Gac. R. Soc. Mat. Esp.
9 (2006), 483-514,
link.
Reproduced (with permission of the first publishers) in
Bol. Soc. Esp. Mat. Apl.
37 (2006), 93-121.
— Download:
tex,
pdf,
link (complete issue) (in Spanish).
- Ó. Ciaurri, L. M. Navas and J. L. Varona,
A transform involving Chebyshev polynomials and its inversion formula,
J. Math. Anal. Appl.
323 (2006), 57-62.
— Download:
tex,
pdf,
link.
- J. J. Betancor, Ó. Ciaurri, T. Martínez,
M. Pérez, J. L. Torrea and J. L. Varona,
Heat and Poisson semigroups for Fourier-Neumann expansions,
Semigroup Forum
73 (2006), 129-142.
— Download:
tex,
pdf,
link.
- J. L. Varona,
Condiciones necesarias para la convergencia de series de Fourier,
Matemàtiques
3 (2005), 135-153.
— Download:
tex,
pdf (in Spanish).
- Ó. Ciaurri, K. Stempak and J. L. Varona,
Mean Cesàro-type summability of Fourier-Neumann series,
Studia Sci. Math. Hungar.
42 (2005), 413-430.
— Download:
tex,
pdf,
link.
- M. P. Alfaro, M. Bello, J. M. Montaner and J. L. Varona,
Some asymptotic properties for orthogonal polynomials with
respect to varying measures,
J. Approx. Theory
135 (2005), 22-34.
— Download:
tex,
pdf,
link.
- Ó. Ciaurri and J. L. Varona,
Two-weight norm inequalities for the Cesàro means
of generalized Hermite expansions,
J. Comput. Appl. Math.
178 (2005), 99-110.
— Download:
tex,
pdf,
link.
- Ó. Ciaurri, K. Stempak and J. L. Varona,
Uniform two-weight norm inequalities for Hankel transform Bochner-Riesz means
of order one,
Tohoku Math. J. (2)
56 (2004), 371-392.
— Download:
tex,
pdf,
link.
- J. L. Varona,
Representación gráfica de fractales mediante un programa de
cálculo simbólico,
Gac. R. Soc. Mat. Esp.
6 (2003), 213-230.
— Download:
pdf,
link (in Spanish).
— Mathematica files to generate the graphics:
notebooks.
- Ó. Ciaurri, M. Pérez and J. L. Varona,
Weak behaviour of Fourier-Neumann series,
Glasgow Math. J.
45 (2003), 97-104.
Corrigendum,
Glasgow Math. J.
45 (2003), 567.
— Download (the complete correct paper):
tex,
pdf,
link,
link to corrigendum.
- Ó. Ciaurri and J. L. Varona,
An uniform boundedness for Bochner-Riesz operators related with the Hankel
transform,
J. Inequal. Appl.
7 (2002), 759-777.
— Download:
tex,
pdf,
link.
- M. Benito, W. Creyaufmüller, J. L. Varona and P. Zimmermann,
Aliquot sequence 3630 ends after reaching 100 digits,
Experiment. Math.
11 (2002), 201-206.
— Download:
tex and the sequence,
pdf,
link.
— More information about aliquot sequences and links to files:
push here.
- M. Benito and J. L. Varona,
Pythagorean triangles with legs less than $n$,
J. Comput. Appl. Math.
143 (2002), 117-126.
— Download:
pdf,
link.
- J. L. Varona,
Graphic and numerical comparison between iterative methods,
Math. Intelligencer
24 (2002), no. 1,
37-46.
— Download:
pdf,
link.
— Also, the cover of the issue:
image at low resolution, or
big graphic file.
— Mathematica code to generate the graphics:
original notebook
or updated notebook suitable
for newest versions of Mathematica.
- Ó. Ciaurri, J. J. Guadalupe, M. Pérez and J. L. Varona,
Solving dual integral equations on Lebesgue spaces,
Studia Math.
142 (2000), 253-267.
— Download:
tex,
pdf,
link.
- M. Benito and J. L. Varona,
Sucesiones alicuatorias,
Gac. R. Soc. Mat. Esp.
2 (1999), 357-365.
— Download:
tex,
pdf,
link (in Spanish).
— More information about aliquot sequences and links to files:
push here.
- Ó. Ciaurri, J. J. Guadalupe, M. Pérez and J. L. Varona,
Mean and almost everywhere convergence of Fourier-Neumann series,
J. Math. Anal. Appl.
236 (1999), 125-147.
— Download:
tex,
pdf,
link.
- J. J. Guadalupe, M. Pérez and J. L. Varona,
Commutators and analytic dependence of Fourier-Bessel series on
$(0,\infty)$,
Canad. Math. Bull.
42 (1999), 198-208.
— Download:
tex,
pdf,
link.
- M. Benito and J. L. Varona,
Advances in aliquot sequences,
Math. Comp.
68 (1999), 389-393.
— Download:
tex,
pdf,
link.
— More information about aliquot sequences and links to files:
push here.
- J. J. Guadalupe, M. Pérez, F. J. Ruiz and J. L. Varona,
Weighted norm inequalities for polynomial expansions associated to some
measures with mass points,
Constr. Approx.
12 (1996), 341-360.
— Download:
pdf,
link.
- M. Pérez and J. L. Varona,
On completeness of orthogonal systems and Dirac deltas,
J. Comput. Appl. Math.
58 (1995), 225-231.
— Download:
tex,
pdf,
link.
- J. L. Varona,
Fourier series of functions whose Hankel transform is supported on
$[0,1]$,
Constr. Approx.
10 (1994), 65-75.
— Download:
tex,
pdf,
link.
- J. J. Guadalupe, M. Pérez, F. J. Ruiz and J. L. Varona,
Endpoint weak boundedness of some polynomial expansions,
J. Comput. Appl. Math.
49 (1993), 93-102.
— Download:
tex,
pdf,
link.
- J. J. Guadalupe, M. Pérez, F. J. Ruiz and J. L. Varona,
Asymptotic behaviour of orthogonal polynomials relative to measures with
mass points,
Mathematika
40 (1993), 331-344.
— Download:
tex,
pdf,
link.
- J. J. Guadalupe, M. Pérez, F. J. Ruiz and J. L. Varona,
Mean and weak convergence of Fourier-Bessel series,
J. Math. Anal. Appl.
173 (1993), 370-389.
— Download:
tex,
pdf,
link.
- J. J. Guadalupe, M. Pérez and J. L. Varona,
Weighted weak behaviour of Fourier-Jacobi series,
Math. Nachrichten
158 (1992), 161-174.
— Download:
tex,
pdf,
link.
- J. J. Guadalupe, M. Pérez, F. J. Ruiz and J. L. Varona,
Two notes on convergence and divergence a.e. of Fourier series with
respect to some orthogonal systems,
Proc. Amer. Math. Soc.
116 (1992), 457-464.
— Download:
tex,
pdf,
link.
- J. J. Guadalupe, M. Pérez, F. J. Ruiz and J. L. Varona,
Weighted $L^p$-boundedness of Fourier series with respect to generalized
Jacobi weights,
Publicacions Matemàtiques
35 (1991), 449-459.
— Download:
tex,
pdf,
link.
- J. J. Guadalupe, M. Pérez and J. L. Varona,
Weak behaviour of Fourier-Jacobi series,
J. Approx. Theory
61 (1990), 222-238.
— Download:
tex,
pdf,
link.
- J. J. Guadalupe, M. Pérez and J. L. Varona,
Mean and weak convergence of some orthogonal Fourier expansions by using
$A_p$ theory,
Lect. Notes Pure Appl. Math.
117 (1989), 161-169.
— Download:
tex,
pdf.
Papers in proceedings of conferences and chapters of books
- Ó. Ciaurri, L. M. Navas, F. J. Ruiz and J. L. Varona,
The computation of $\zeta(2k)$, $\beta(2k+1)$ and beyond by using telescoping series, Chapter 3 in
Orthogonal Polynomials and Special Functions: In Memory of José Carlos Petronilho
(K. Castillo and A. J. Durán, editors),
Coimbra Mathematical Texts, Springer, to appear.
— Download:
tex (no yet),
pdf (no yet),
link (no yet).
- J. A. Ezquerro, M. Á. Hernández-Verón and J. L. Varona,
Approximating inverse operators by a fourth-order iterative method, Chapter 18 in
Understanding Banach Spaces (D. González Sánchez, editor),
Nova Science Publishers, New York, 2020, p. 199-207.
— Download:
tex,
pdf.
- J. M. Gutiérrez and J. L. Varona,
A new parameter plane for Chebyshev’s method,
in
Proceedings XXV CEDYA + XV CMA,
Cartagena, 2017, p. 350-354.
— Download:
tex,
pdf.
- J. M. Gutiérrez, Á. A. Magreñán and J. L. Varona,
Fractal dimension of the universal Julia sets for the Chebyshev-Halley family of methods,
AIP Conf. Proc.
1389 (2011), 1061-1064.
— Download:
tex,
pdf.
- Ó Ciaurri, J. L. Torrea, L. Roncal and J. L. Varona,
How to define the Riesz transform for Fourier-Neumann expansions?,
in
Contribuciones Científicas en Honor de Mirian Andrés Gómez
(L. Lambán, A. Romero and J. Rubio, editors),
Servicio de Publicaciones, Universidad de La Rioja, Logroño, 2010,
p. 203-215.
— Download:
tex,
pdf.
- M. Benito, L. M. Navas and J. L. Varona,
Möbius inversion from the point of view of arithmetical semigroup flows,
in
Proceedings of the “Segundas Jornadas de Teoría de Números” (Madrid, 2007), Bibl. Rev. Mat. Iberoamericana,
2008, p. 63-81.
— Download:
tex,
pdf.
- R. Pradas, F. Antoñanzas, M. R. Lorente and J. L. Varona,
Intervenciones sanitarias eficientes en la empresa riojana: la vacunación antigripal,
II Foro Internacional de Economía Regional “Foro Económico de La Rioja”, Logroño, 2006.
(Unpublished manuscript because, contrary to the announced,
finally no proceedings from this congress were edited.)
— Download:
tex,
pdf.
- Ó. Ciaurri and J. L. Varona,
Ecuaciones integrales dobles con funciones de Bessel de distinto orden,
in
Margarita Mathematica en memoria de José Javier (Chicho) Guadalupe
Hernández (Luis Español and Juan L. Varona, editors),
Servicio de Publicaciones, Universidad de La Rioja, Logroño, 2001,
p. 111-122.
— Download:
pdf.
- L. Español and J. L. Varona,
Presentación,
in
Margarita Mathematica en memoria de José Javier (Chicho) Guadalupe
Hernández (Luis Español and Juan L. Varona, editors),
Servicio de Publicaciones, Universidad de La Rioja, Logroño, 2001,
p. xiii-xliv.
— Download:
pdf
(with tithepages and index).
— See also the covers of the book:
image at low resolution, or
big graphic file.
- M. Benito and J. L. Varona,
Aliquot sequences starting with a number under 10000,
in
Actas del VII Encuentro de Álgebra Computacional and Aplicaciones
EACA-2001 (Ezcaray, La Rioja, 2001), 90-94, Universidad de La Rioja,
Logroño, 2001.
— Download:
tex,
pdf.
— More information about aliquot sequences and links to files:
push here.
- V. Lanchares and J. L. Varona,
Generación de estructuras cuasiperiódicas a partir de redes
estocásticas,
in
Actas del Congreso UNIMAC'94, Vol. I (Madrid 1994),
31-37, UNED, Madrid, 1994.
Program Contornos, on the CD-ROM UNIMAC'94.
— Download:
pdf.
- J. M. Gutiérrez and J. L. Varona,
Convergencia en norma de series de Fourier-Jacobi con pesos
logarítmicos,
in
Actas XV Jornadas Luso-Espanholas de Matemática, Vol. II
(Évora, Portugal, 1990), 113-118,
Universidade de Évora, Évora, 1991.
— Download:
tex,
pdf.
- J. L. Varona,
Acotación en norma de series de Fourier-Neumann,
in
Actas XV Jornadas Luso-Espanholas de Matemática, Vol. II
(Évora, Portugal, 1990), 119-124,
Universidade de Évora, Évora, 1991.
— Download:
tex,
pdf.
- M. Pérez and J. L. Varona,
Estimaciones de polinomios ortogonales con peso
$(1-x)^\alpha (1+x)^\beta + M\delta_{-1} + N\delta_1$,
XIII Jornadas Hispano Lusas de Matemáticas,
Universidad de Valladolid, Valladolid, 1988.
(Unpublished manuscript because, contrary to the announced,
finally no proceedings from this congress were edited.)
— Download:
tex,
pdf.
- J. L. Varona,
Estudio de la convergencia en media de las series de Fourier de los
sistemas de Bessel y Dini mediante teoría $A_p$,
XIII Jornadas Hispano Lusas de Matemáticas,
Universidad de Valladolid, Valladolid, 1988.
(Unpublished manuscript because, contrary to the announced,
finally no proceedings from this congress were edited.)
— Download:
tex,
pdf.
- J. J. Guadalupe, M. Pérez, F. J. Ruiz and J. L. Varona,
$L^p$ boundedness of the kernels relative to generalized Jacobi weights,
in
Polinomios Ortogonales y Aplicaciones
(Actas del VI Simposium, Gijón 1989),
168-178, Universidad de Oviedo, Gijón, 1990.
— Download:
tex,
pdf.
— See also the Spanish translation:
tex,
pdf.
- J. J. Guadalupe, M. Pérez, F. J. Ruiz and J. L. Varona,
Convergencia en media de la serie de Fourier respecto de polinomios
asociados a la medida $(1-x)^\alpha (1+x)^\beta \,dx + M\delta_{-1} +
N\delta_1$,
in
Polinomios Ortogonales y sus Aplicaciones
(Actas del V Simposium, Vigo 1988),
91-99, Universidad de Santiago, Vigo, 1989.
— Download:
tex,
pdf.
- M. Pérez and J. L. Varona,
Comportamiento débil de las series de Fourier-Jacobi,
in
Actas XII Jornadas Luso-Espanholas de Matemática, Vol. II
(Braga, Portugal, 1987), 429-434, Universidade do Minho, Braga, 1990.
— Download:
tex,
pdf.
Ph. D. Thesis (in Spanish)
I lectured my Ph. D. Thesis on december 10, 1988, in the Universidad de
Cantabria (Santander), under the direction of Professor José J. Guadalupe.
Here, you can get a copy of it.
- J. L. Varona,
Convergencia en $L^p$ con pesos de la serie de Fourier respecto de
algunos sistemas ortogonales,
Sem. Mat. García de Galdeano, sec. 2, no. 22, Zaragoza, 1989.
— Download:
tex,
pdf.
— See also an abstract:
tex,
pdf,
link
(published in Zubía 8 (1990), 217-218).
Publications related to TeX
- J. I. Montijano, M. Pérez, L. Rández and J. L. Varona,
Numerical methods with LuaLaTeX,
TUGboat
35 (2014), 51-56.
— Download:
tex,
pdf,
link.
- J. L. Varona,
Diccionario en castellano para TeX,
TeXemplares
3 (2001), no. 2, 32-36.
— Download:
tex,
pdf.
- J. L. Varona,
Herramientas informáticas para escribir TeX en castellano,
in
Actas del Congreso UNIMAC 96 (Zaragoza 1996),
CD-ROM UNIMAC 96, Universidad de Zaragoza, Zaragoza, 1996.
— Download:
tex,
pdf.
— Also, download the
"Herramientas"
(Macintosh applications, now obsolete).
Last modification of
this page:
November 23, 2024.
jvarona@unirioja.es
Personal home page (in Spanish):
http://www.unirioja.es/cu/jvarona/hola.html
Personal home page (in English):
http://www.unirioja.es/cu/jvarona/welcome.html
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