Edit Profile (opens in new tab) Varona Malumbres, Juan Luis Co-Author Distance Author ID: varona-malumbres.juan-luis Published as: Varona, Juan L.; Varona, Juan Luis; Varona Malumbres, Juan L.; Varona, J. L.; Varona Malumbres, Juan Luis; Varona Malumbres, J. L. more...less Homepage: https://www.unirioja.es/cu/jvarona/ External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · Twitter Documents Indexed: 104 Publications since 1989, including 1 Book and 4 Additional arXiv Preprints 4 Contributions as Editor Reviewing Activity: 13 Reviews Co-Authors: 45 Co-Authors with 94 Joint Publications 1,262 Co-Co-Authors all top 5 Co-Authors 14 single-authored 33 Ciaurri, Óscar 26 Pérez, Mario 20 Ruiz, Francisco J. 16 Navas, Luis M. 13 Guadalupe Hernández, José Javier (Chicho) 9 Durán, Antonio José 6 Benito, Manuel 6 Roncal, Luz 5 Mínguez Ceniceros, Judit 5 Torrea, José Luis 3 Abreu, Luís Daniel 3 Gil Asensi, Alejandro 3 Gutiérrez, José Manuel 3 Sanz-Solé, Marta 3 Soria, Javier 3 Verdera, Joan 2 Betancor Perez, Jorge Juan 2 Español, Luis 2 Hone, Andrew N. W. 2 Labarga Varona, Edgar 2 Luca, Florian 2 Matthies, Gunar 2 Salimi, Mehdi 2 Sharifi, Somayeh 2 Stempak, Krzysztof 2 Stinga, Pablo Raúl 1 Albiac, Fernando 1 Aldaz, Jésus Munárriz 1 Alfaro, María Pilar 1 Ansorena, José Luis 1 Bello Hernández, Manuel 1 Creyaufmüller, Wolfgang 1 Extremiana Aldana, José Ignacio 1 Fernández, Emilio 1 Gasull, Armengol 1 Gillespie, Thomas Alastair 1 Lizama, Carlos 1 Magreñán, Ángel Alberto 1 Martinez, Teresa 1 Montaner, Jesús María 1 Reyes, Juan Manuel 1 Sadornil, Daniel 1 Sáenz de Cabezón Irigaray, Eduardo 1 Torné, José Antonio 1 Zimmermann, Paul all top 5 Serials 12 Journal of Mathematical Analysis and Applications 7 La Gaceta de la Real Sociedad Matemática Española 6 Journal of Approximation Theory 6 Journal of Computational and Applied Mathematics 3 American Mathematical Monthly 3 Mathematics of Computation 3 Journal of Number Theory 3 Proceedings of the American Mathematical Society 2 Mathematics Magazine 2 Constructive Approximation 2 Experimental Mathematics 2 Integral Transforms and Special Functions 2 Qualitative Theory of Dynamical Systems 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Journal d’Analyse Mathématique 1 Mathematical Methods in the Applied Sciences 1 Studia Mathematica 1 The Mathematical Intelligencer 1 Acta Arithmetica 1 Advances in Mathematics 1 Applied Mathematics and Computation 1 Archivum Mathematicum 1 The Australian Mathematical Society Gazette 1 Canadian Mathematical Bulletin 1 Functiones et Approximatio. Commentarii Mathematici 1 Glasgow Mathematical Journal 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Functional Analysis 1 Mathematische Nachrichten 1 Mathematika 1 Monatshefte für Mathematik 1 Semigroup Forum 1 Studia Scientiarum Mathematicarum Hungarica 1 Tôhoku Mathematical Journal. Second Series 1 Advances in Applied Mathematics 1 Revista Matemática Iberoamericana 1 Applied Mathematics Letters 1 Publicacions Matemàtiques 1 Japan Journal of Industrial and Applied Mathematics 1 Expositiones Mathematicae 1 Notices of the American Mathematical Society 1 Indagationes Mathematicae. New Series 1 The Ramanujan Journal 1 Journal of Inequalities and Applications 1 Revista Matemática Complutense 1 Journal of Integer Sequences 1 Acta Mathematica Sinica. English Series 1 Central European Journal of Mathematics 1 The Open Mathematics Journal 1 Boletín de la Sociedad Española de Matemática Aplicada. S\(\vec{\text{e}}\)MA all top 5 Fields 48 Harmonic analysis on Euclidean spaces (42-XX) 41 Number theory (11-XX) 25 Special functions (33-XX) 13 Integral transforms, operational calculus (44-XX) 10 Numerical analysis (65-XX) 6 General and overarching topics; collections (00-XX) 5 Sequences, series, summability (40-XX) 4 Approximations and expansions (41-XX) 4 Computer science (68-XX) 4 Information and communication theory, circuits (94-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Real functions (26-XX) 3 Functions of a complex variable (30-XX) 3 Partial differential equations (35-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Abstract harmonic analysis (43-XX) 2 History and biography (01-XX) 2 Combinatorics (05-XX) 2 Integral equations (45-XX) 2 Functional analysis (46-XX) 2 Operator theory (47-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 78 Publications have been cited 610 times in 421 Documents Cited by ▼ Year ▼ Graphic and numerical comparison between iterative methods. Zbl 1003.65046 Varona, Juan L. 104 2002 Nonlocal discrete diffusion equations and the fractional discrete Laplacian, regularity and applications. Zbl 1391.35388 Ciaurri, Óscar; Roncal, Luz; Stinga, Pablo Raúl; Torrea, José L.; Varona, Juan Luis 63 2018 Harmonic analysis associated with a discrete Laplacian. Zbl 1476.39003 Ciaurri, Óscar; Gillespie, T. Alastair; Roncal, Luz; Torrea, José L.; Varona, Juan Luis 47 2017 Asymptotic estimates for Apostol-Bernoulli and Apostol-Euler polynomials. Zbl 1268.11033 Navas, Luis M.; Ruiz, Francisco J.; Varona, Juan L. 25 2012 The Möbius inversion formula for Fourier series applied to Bernoulli and Euler polynomials. Zbl 1253.11028 Navas, Luis M.; Ruiz, Francisco J.; Varona, Juan L. 17 2011 The multiplier of the interval \([-1,1]\) for the Dunkl transform on the real line. Zbl 1109.44002 Betancor, Jorge J.; Ciaurri, Óscar; Varona, Juan L. 17 2007 A Whittaker-Shannon-Kotel’nikov sampling theorem related to the Dunkl transform. Zbl 1278.94036 Ciaurri, Óscar; Varona, Juan L. 17 2007 On a connection between the discrete fractional Laplacian and superdiffusion. Zbl 1381.35215 Ciaurri, Óscar; Lizama, Carlos; Roncal, Luz; Varona, Juan Luis 17 2015 The “Gauss-Seidelization” of iterative methods for solving nonlinear equations in the complex plane. Zbl 1243.65052 Gutiérrez, José Manuel; Magreñán, Ángel Alberto; Varona, Juan Luis 15 2011 The misfortunes of a trio of mathematicians using computer algebra systems. Can we trust in them? Zbl 1338.68299 Durán, Antonio J.; Pérez, Mario; Varona, Juan L. 13 2014 Bernoulli-Dunkl and Euler-Dunkl polynomials and their generalizations. Zbl 1435.11042 Ciaurri, Óscar; Ceniceros, Judit Mínguez; Varona, Juan L. 13 2019 Bernoulli-Dunkl and Apostol-Euler-Dunkl polynomials with applications to series involving zeros of Bessel functions. Zbl 1439.11063 Ciaurri, Óscar; Durán, Antonio J.; Pérez, Mario; Varona, Juan L. 13 2018 Fourier series of functions whose Hankel transform is supported on \([0,1]\). Zbl 0803.42015 Varona, Juan L. 11 1994 Asymptotic behaviour of orthogonal polynomials relative to measures with mass points. Zbl 0791.42016 Guadalupe, José J.; Pérez, Mario; Ruiz, Francisco J.; Varona, Juan L. 11 1993 A simple computation of \(\zeta(2k)\). Zbl 1350.40002 Ciaurri, Óscar; Navas, Luis M.; Ruiz, Francisco J.; Varona, Juan L. 10 2015 Rational values of the arccosine function. Zbl 1130.11037 Varona, Juan L. 10 2006 Two notes on convergence and divergence a.e. of Fourier series with respect to some orthogonal systems. Zbl 0756.42017 Guadalupe, J. J.; Perez, M.; Ruiz, F. J.; Varona, J. L. 9 1992 Appell polynomials as values of special functions. Zbl 1434.11068 Navas, Luis M.; Ruiz, Francisco J.; Varona, Juan L. 9 2018 Fourier-Dunkl system of the second kind and Euler-Dunkl polynomials. Zbl 1429.33009 Durán, Antonio J.; Pérez, Mario; Varona, Juan L. 9 2019 Weak behaviour of Fourier-Jacobi series. Zbl 0708.42013 Guadalupe, José; Pérez, Mario; Varona, Juan L. 8 1990 An optimal three-point eighth-order iterative method without memory for solving nonlinear equations with its dynamics. Zbl 1365.65145 Matthies, Gunar; Salimi, Mehdi; Sharifi, Somayeh; Varona, Juan Luis 8 2016 Mean and weak convergence of Fourier-Bessel series. Zbl 0781.42024 Guadalupe, José J.; Pérez, Mario; Ruiz, Francisco J.; Varona, Juan L. 7 1993 Some conjectures on Wronskian and Casorati determinants of orthogonal polynomials. Zbl 1315.42015 Durán, Antonio J.; Pérez, Mario; Varona, Juan L. 7 2015 Some asymptotic properties for orthogonal polynomials with respect to varying measures. Zbl 1080.42022 Alfaro, María Pilar; Hernández, Manuel Bello; Montaner, Jesús María; Varona, Juan L. 7 2005 Möbius inversion formulas for flows of arithmetic semigroups. Zbl 1147.11006 Benito, Manuel; Navas, Luis M.; Varona, Juan L. 7 2008 Mean and almost everywhere convergence of Fourier-Neumann series. Zbl 0953.42015 Ciaurri, Óscar; Guadalupe, José J.; Pérez, Mario; Varona, Juan L. 6 1999 Mean convergence of Fourier-Dunkl series. Zbl 1210.43006 Ciaurri, Óscar; Pérez, Mario; Reyes, Juan Manuel; Varona, Juan Luis 6 2010 Weighted norm inequalities for polynomial expansions associated to some measures with mass points. Zbl 0893.42014 Guadalupe, J. J.; Pérez, M.; Ruiz, F. J.; Varona, J. L. 5 1996 Solving dual integral equations on Lebesgue spaces. Zbl 0972.45003 Ciaurri, Óscar; Guadalupe, José J.; Pérez, Mario; Varona, Juan L. 5 2000 Existence and reduction of generalized Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials. Zbl 1463.11071 Navas, Luis M.; Ruiz, Francisco J.; Varona, Juan L. 5 2019 Superattracting extraneous fixed points and \(n\)-cycles for Chebyshev’s method on cubic polynomials. Zbl 1440.37053 Gutiérrez, José M.; Varona, Juan L. 5 2020 Old and new identities for Bernoulli polynomials via Fourier series. Zbl 1347.11024 Navas, Luis M.; Ruiz, Francisco J.; Varona, Juan L. 5 2012 Asymptotic behavior of the Lerch transcendent function. Zbl 1280.30020 Navas, Luis M.; Ruiz, Francisco J.; Varona, Juan L. 5 2013 The continued fraction expansion of certain Pierce series. Zbl 1421.11056 Varona, Juan Luis 5 2017 Appell-Dunkl sequences and Hurwitz-Dunkl zeta functions. Zbl 1528.33004 Gil Asensi, Alejandro; Varona, Juan L. 5 2023 Weighted \(L^ p\)-boundedness of Fourier series with respect to generalized Jacobi weights. Zbl 0737.42022 Guadalupe, José J.; Pérez, Mario; Ruiz, Francisco J.; Varona, Juan L. 4 1991 Bilinear biorthogonal expansions and the Dunkl kernel on the real line. Zbl 1250.94019 Abreu, Luís Daniel; Ciaurri, Óscar; Varona, Juan Luis 4 2012 Discrete Appell-Dunkl sequences and Bernoulli-Dunkl polynomials of the second kind. Zbl 1501.11036 Extremiana Aldana, José Ignacio; Labarga, Edgar; Mínguez Ceniceros, Judit; Varona, Juan Luis 4 2022 The Lerch transcendent from the point of view of Fourier analysis. Zbl 1321.11093 Navas, Luis M.; Ruiz, Francisco J.; Varona, Juan L. 3 2015 Weighted weak behavior of Fourier-Jacobi series. Zbl 0801.42019 Guadalupe, José J.; Pérez, Mario; Varona, Juan L. 3 1992 Unconditional and quasi-greedy bases in \(L_p\) with applications to Jacobi polynomials Fourier series. Zbl 1423.46021 Albiac, Fernando; Ansorena, José L.; Ciaurri, Óscar; Varona, Juan L. 3 2019 Continued fractions and irrationality exponents for modified Engel and Pierce series. Zbl 1447.11080 Hone, Andrew N. W.; Varona, Juan Luis 3 2019 Pythagorean triangles with legs less than \(n\). Zbl 1009.11019 Benito, Manuel; Varona, Juan L. 3 2002 Proceedings of the international congress of mathematicians (ICM), Madrid, Spain, August 22–30, 2006. Volume I: Plenary lectures and ceremonies. Zbl 1111.00009 3 2007 A transform involving Chebyshev polynomials and its inversion formula. Zbl 1114.33009 Ciaurri, Óscar; Navas, Luis M.; Varona, Juan L. 3 2006 Singular measures and convolution operators. Zbl 1165.42304 Aldaz, J. M.; Varona, Juan L. 3 2007 Asymptotic behavior of Bernoulli-Dunkl and Euler-Dunkl polynomials and their zeros. Zbl 1491.11029 Mínguez Ceniceros, Judit; Varona, Juan L. 3 2021 The multiplier of the interval [-1, 1] for the Dunkl transform of arbitrary order on the real line. Zbl 1318.42005 Ciaurri, Óscar; Roncal, Luz; Varona, Juan L. 2 2015 Mean Cesáro-type summability of Fourier-Neumann series. Zbl 1121.42019 Ciaurri, Óscar; Stempak, Krzysztof; Varona, Juan L. 2 2005 On completeness of orthogonal systems and Dirac deltas. Zbl 0832.44007 Pérez Riera, Mario; Varona Malumbres, Juan L. 2 1995 Two-weight norm inequalities for the Cesàro means of generalized Hermite expansions. Zbl 1084.42021 Ciaurri, Óscar; Varona, Juan L. 2 2005 Advances in aliquot sequences. Zbl 0957.11060 Benito, Manuel; Varona, Juan L. 2 1999 Recursive formulas related to the summation of the Möbius function. Zbl 1236.11005 Benito, Manuel; Varona, Juan L. 2 2008 Möbius inversion from the point of view of arithmetical semigroup flows. Zbl 1235.11008 Benito, Manuel; Navas, Luis M.; Varona, Juan Luis 2 2008 The surprising almost everywhere convergence of Fourier-Neumann series. Zbl 1204.42044 Ciaurri, Óscar; Varona, Juan Luis 2 2009 Multiperfect numbers on lines of the Pascal triangle. Zbl 1171.11002 Luca, Florian; Varona, Juan Luis 2 2009 The spectrum of the right inverse of the Dunkl operator. Zbl 1334.42059 Abreu, Luís Daniel; Ciaurri, Óscar; Varona, Juan Luis 2 2013 A note on Appell sequences, Mellin transforms and Fourier series. Zbl 1484.11088 Navas, Luis M.; Ruiz, Francisco J.; Varona, Juan L. 2 2019 On the properties of zeros of Bessel series in the real line. Zbl 1486.33007 Durán, Antonio J.; Pérez, Mario; Varona, Juan L. 2 2021 A method for summing Bessel series and a couple of illustrative examples. Zbl 1497.33007 Durán, Antonio J.; Pérez, Mario; Varona, Juan L. 2 2022 Stirling-Dunkl numbers. Zbl 1522.11011 Mínguez Ceniceros, Judit; Varona, Juan Luis 2 2023 Uniform two-weight norm inequalities for Hankel transform Bochner-Riesz means of order one. Zbl 1096.42010 Ciaurri, Óscar; Stempak, Krzysztof; Varona, Juan L. 1 2004 An uniform boundedness for Bochner-Riesz operators related to the Hankel transform. Zbl 1040.42007 Ciaurri, Óscar; Varona, Juan L. 1 2002 Some functional relations derived from the Lindelöf-Wirtinger expansion of the Lerch transcendent function. Zbl 1315.41015 Navas, Luis M.; Ruiz, Francisco J.; Varona, Juan L. 1 2015 How to define the Riesz transform for Fourier-Neumann expansions? Zbl 1206.42032 Ciaurri, Óscar; Roncal, Luz; Torrea, José L.; Varona, Juan L. 1 2010 Aliquot sequence 3630 ends after reach 100 digits. Zbl 1116.11326 Benito, Manuel; Creyaufmüller, Wolfgang; Varona, Juan L.; Zimmermann, Paul 1 2002 Margarita mathematica in memoriam José Javier (Chicho) Guadalupe Hernández. (Margarita mathematica en memoria de José Javier (Chicho) Guadalupe Hernández.) Zbl 0983.00065 1 2001 A \(q\)-linear analogue of the plane wave expansion. Zbl 1270.94049 Abreu, Luís Daniel; Ciaurri, Óscar; Varona, Juan Luis 1 2013 Weak behaviour of Fourier-Neumann series. Zbl 1046.42018 Ciaurri, Óscar; Pérez, Mario; Varona, Juan L. 1 2003 Heat and Poisson semigroups for Fourier-Neumann expansions. Zbl 1142.42012 Betancor, Jorge J.; Ciaurri, Oscar; Martinez, Teresa; Perez, Mario; Torrea, Jose L.; Varona, Juan L. 1 2006 An uncertainty inequality for Fourier-Dunkl series. Zbl 1179.42021 Ciaurri, Óscar; Varona, Juan L. 1 2010 Dunkl transformations and sampling theorems. Zbl 1242.94011 Ciaurri, Óscar; Varona, Juan Luis 1 2008 A connection between power series and Dirichlet series. Zbl 1455.30003 Navas, Luis M.; Ruiz, Francisco J.; Varona, Juan L. 1 2021 Srinivasa Ramanujan in memoriam (1887–1920). In how many ways can we count 176 votes? Zbl 1446.11189 Varona, Juan Luis 1 2020 Differentiability of a pathological function, diophantine approximation, and a reformulation of the Thue-Siegel-Roth theorem. Zbl 1193.26003 Varona, Juan Luis 1 2009 A travel on number theory. (Recorridos por la teoría de números.) Zbl 1395.00010 Varona Malumbres, Juan Luis 1 2014 An optimal thirty-second-order iterative method for solving nonlinear equations and a conjecture. Zbl 1485.65056 Varona, Juan Luis 1 2022 There are infinite primes (from Euclid to the XXI century). Zbl 1497.11008 Sadornil, Daniel; Varona, Juan Luis 1 2021 Appell-Dunkl sequences and Hurwitz-Dunkl zeta functions. Zbl 1528.33004 Gil Asensi, Alejandro; Varona, Juan L. 5 2023 Stirling-Dunkl numbers. Zbl 1522.11011 Mínguez Ceniceros, Judit; Varona, Juan Luis 2 2023 Discrete Appell-Dunkl sequences and Bernoulli-Dunkl polynomials of the second kind. Zbl 1501.11036 Extremiana Aldana, José Ignacio; Labarga, Edgar; Mínguez Ceniceros, Judit; Varona, Juan Luis 4 2022 A method for summing Bessel series and a couple of illustrative examples. Zbl 1497.33007 Durán, Antonio J.; Pérez, Mario; Varona, Juan L. 2 2022 An optimal thirty-second-order iterative method for solving nonlinear equations and a conjecture. Zbl 1485.65056 Varona, Juan Luis 1 2022 Asymptotic behavior of Bernoulli-Dunkl and Euler-Dunkl polynomials and their zeros. Zbl 1491.11029 Mínguez Ceniceros, Judit; Varona, Juan L. 3 2021 On the properties of zeros of Bessel series in the real line. Zbl 1486.33007 Durán, Antonio J.; Pérez, Mario; Varona, Juan L. 2 2021 A connection between power series and Dirichlet series. Zbl 1455.30003 Navas, Luis M.; Ruiz, Francisco J.; Varona, Juan L. 1 2021 There are infinite primes (from Euclid to the XXI century). Zbl 1497.11008 Sadornil, Daniel; Varona, Juan Luis 1 2021 Superattracting extraneous fixed points and \(n\)-cycles for Chebyshev’s method on cubic polynomials. Zbl 1440.37053 Gutiérrez, José M.; Varona, Juan L. 5 2020 Srinivasa Ramanujan in memoriam (1887–1920). In how many ways can we count 176 votes? Zbl 1446.11189 Varona, Juan Luis 1 2020 Bernoulli-Dunkl and Euler-Dunkl polynomials and their generalizations. Zbl 1435.11042 Ciaurri, Óscar; Ceniceros, Judit Mínguez; Varona, Juan L. 13 2019 Fourier-Dunkl system of the second kind and Euler-Dunkl polynomials. Zbl 1429.33009 Durán, Antonio J.; Pérez, Mario; Varona, Juan L. 9 2019 Existence and reduction of generalized Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials. Zbl 1463.11071 Navas, Luis M.; Ruiz, Francisco J.; Varona, Juan L. 5 2019 Unconditional and quasi-greedy bases in \(L_p\) with applications to Jacobi polynomials Fourier series. Zbl 1423.46021 Albiac, Fernando; Ansorena, José L.; Ciaurri, Óscar; Varona, Juan L. 3 2019 Continued fractions and irrationality exponents for modified Engel and Pierce series. Zbl 1447.11080 Hone, Andrew N. W.; Varona, Juan Luis 3 2019 A note on Appell sequences, Mellin transforms and Fourier series. Zbl 1484.11088 Navas, Luis M.; Ruiz, Francisco J.; Varona, Juan L. 2 2019 Nonlocal discrete diffusion equations and the fractional discrete Laplacian, regularity and applications. Zbl 1391.35388 Ciaurri, Óscar; Roncal, Luz; Stinga, Pablo Raúl; Torrea, José L.; Varona, Juan Luis 63 2018 Bernoulli-Dunkl and Apostol-Euler-Dunkl polynomials with applications to series involving zeros of Bessel functions. Zbl 1439.11063 Ciaurri, Óscar; Durán, Antonio J.; Pérez, Mario; Varona, Juan L. 13 2018 Appell polynomials as values of special functions. Zbl 1434.11068 Navas, Luis M.; Ruiz, Francisco J.; Varona, Juan L. 9 2018 Harmonic analysis associated with a discrete Laplacian. Zbl 1476.39003 Ciaurri, Óscar; Gillespie, T. Alastair; Roncal, Luz; Torrea, José L.; Varona, Juan Luis 47 2017 The continued fraction expansion of certain Pierce series. Zbl 1421.11056 Varona, Juan Luis 5 2017 An optimal three-point eighth-order iterative method without memory for solving nonlinear equations with its dynamics. Zbl 1365.65145 Matthies, Gunar; Salimi, Mehdi; Sharifi, Somayeh; Varona, Juan Luis 8 2016 On a connection between the discrete fractional Laplacian and superdiffusion. Zbl 1381.35215 Ciaurri, Óscar; Lizama, Carlos; Roncal, Luz; Varona, Juan Luis 17 2015 A simple computation of \(\zeta(2k)\). Zbl 1350.40002 Ciaurri, Óscar; Navas, Luis M.; Ruiz, Francisco J.; Varona, Juan L. 10 2015 Some conjectures on Wronskian and Casorati determinants of orthogonal polynomials. Zbl 1315.42015 Durán, Antonio J.; Pérez, Mario; Varona, Juan L. 7 2015 The Lerch transcendent from the point of view of Fourier analysis. Zbl 1321.11093 Navas, Luis M.; Ruiz, Francisco J.; Varona, Juan L. 3 2015 The multiplier of the interval [-1, 1] for the Dunkl transform of arbitrary order on the real line. Zbl 1318.42005 Ciaurri, Óscar; Roncal, Luz; Varona, Juan L. 2 2015 Some functional relations derived from the Lindelöf-Wirtinger expansion of the Lerch transcendent function. Zbl 1315.41015 Navas, Luis M.; Ruiz, Francisco J.; Varona, Juan L. 1 2015 The misfortunes of a trio of mathematicians using computer algebra systems. Can we trust in them? Zbl 1338.68299 Durán, Antonio J.; Pérez, Mario; Varona, Juan L. 13 2014 A travel on number theory. (Recorridos por la teoría de números.) Zbl 1395.00010 Varona Malumbres, Juan Luis 1 2014 Asymptotic behavior of the Lerch transcendent function. Zbl 1280.30020 Navas, Luis M.; Ruiz, Francisco J.; Varona, Juan L. 5 2013 The spectrum of the right inverse of the Dunkl operator. Zbl 1334.42059 Abreu, Luís Daniel; Ciaurri, Óscar; Varona, Juan Luis 2 2013 A \(q\)-linear analogue of the plane wave expansion. Zbl 1270.94049 Abreu, Luís Daniel; Ciaurri, Óscar; Varona, Juan Luis 1 2013 Asymptotic estimates for Apostol-Bernoulli and Apostol-Euler polynomials. Zbl 1268.11033 Navas, Luis M.; Ruiz, Francisco J.; Varona, Juan L. 25 2012 Old and new identities for Bernoulli polynomials via Fourier series. Zbl 1347.11024 Navas, Luis M.; Ruiz, Francisco J.; Varona, Juan L. 5 2012 Bilinear biorthogonal expansions and the Dunkl kernel on the real line. Zbl 1250.94019 Abreu, Luís Daniel; Ciaurri, Óscar; Varona, Juan Luis 4 2012 The Möbius inversion formula for Fourier series applied to Bernoulli and Euler polynomials. Zbl 1253.11028 Navas, Luis M.; Ruiz, Francisco J.; Varona, Juan L. 17 2011 The “Gauss-Seidelization” of iterative methods for solving nonlinear equations in the complex plane. Zbl 1243.65052 Gutiérrez, José Manuel; Magreñán, Ángel Alberto; Varona, Juan Luis 15 2011 Mean convergence of Fourier-Dunkl series. Zbl 1210.43006 Ciaurri, Óscar; Pérez, Mario; Reyes, Juan Manuel; Varona, Juan Luis 6 2010 How to define the Riesz transform for Fourier-Neumann expansions? Zbl 1206.42032 Ciaurri, Óscar; Roncal, Luz; Torrea, José L.; Varona, Juan L. 1 2010 An uncertainty inequality for Fourier-Dunkl series. Zbl 1179.42021 Ciaurri, Óscar; Varona, Juan L. 1 2010 The surprising almost everywhere convergence of Fourier-Neumann series. Zbl 1204.42044 Ciaurri, Óscar; Varona, Juan Luis 2 2009 Multiperfect numbers on lines of the Pascal triangle. Zbl 1171.11002 Luca, Florian; Varona, Juan Luis 2 2009 Differentiability of a pathological function, diophantine approximation, and a reformulation of the Thue-Siegel-Roth theorem. Zbl 1193.26003 Varona, Juan Luis 1 2009 Möbius inversion formulas for flows of arithmetic semigroups. Zbl 1147.11006 Benito, Manuel; Navas, Luis M.; Varona, Juan L. 7 2008 Recursive formulas related to the summation of the Möbius function. Zbl 1236.11005 Benito, Manuel; Varona, Juan L. 2 2008 Möbius inversion from the point of view of arithmetical semigroup flows. Zbl 1235.11008 Benito, Manuel; Navas, Luis M.; Varona, Juan Luis 2 2008 Dunkl transformations and sampling theorems. Zbl 1242.94011 Ciaurri, Óscar; Varona, Juan Luis 1 2008 The multiplier of the interval \([-1,1]\) for the Dunkl transform on the real line. Zbl 1109.44002 Betancor, Jorge J.; Ciaurri, Óscar; Varona, Juan L. 17 2007 A Whittaker-Shannon-Kotel’nikov sampling theorem related to the Dunkl transform. Zbl 1278.94036 Ciaurri, Óscar; Varona, Juan L. 17 2007 Proceedings of the international congress of mathematicians (ICM), Madrid, Spain, August 22–30, 2006. Volume I: Plenary lectures and ceremonies. Zbl 1111.00009 3 2007 Singular measures and convolution operators. Zbl 1165.42304 Aldaz, J. M.; Varona, Juan L. 3 2007 Rational values of the arccosine function. Zbl 1130.11037 Varona, Juan L. 10 2006 A transform involving Chebyshev polynomials and its inversion formula. Zbl 1114.33009 Ciaurri, Óscar; Navas, Luis M.; Varona, Juan L. 3 2006 Heat and Poisson semigroups for Fourier-Neumann expansions. Zbl 1142.42012 Betancor, Jorge J.; Ciaurri, Oscar; Martinez, Teresa; Perez, Mario; Torrea, Jose L.; Varona, Juan L. 1 2006 Some asymptotic properties for orthogonal polynomials with respect to varying measures. Zbl 1080.42022 Alfaro, María Pilar; Hernández, Manuel Bello; Montaner, Jesús María; Varona, Juan L. 7 2005 Mean Cesáro-type summability of Fourier-Neumann series. Zbl 1121.42019 Ciaurri, Óscar; Stempak, Krzysztof; Varona, Juan L. 2 2005 Two-weight norm inequalities for the Cesàro means of generalized Hermite expansions. Zbl 1084.42021 Ciaurri, Óscar; Varona, Juan L. 2 2005 Uniform two-weight norm inequalities for Hankel transform Bochner-Riesz means of order one. Zbl 1096.42010 Ciaurri, Óscar; Stempak, Krzysztof; Varona, Juan L. 1 2004 Weak behaviour of Fourier-Neumann series. Zbl 1046.42018 Ciaurri, Óscar; Pérez, Mario; Varona, Juan L. 1 2003 Graphic and numerical comparison between iterative methods. Zbl 1003.65046 Varona, Juan L. 104 2002 Pythagorean triangles with legs less than \(n\). Zbl 1009.11019 Benito, Manuel; Varona, Juan L. 3 2002 An uniform boundedness for Bochner-Riesz operators related to the Hankel transform. Zbl 1040.42007 Ciaurri, Óscar; Varona, Juan L. 1 2002 Aliquot sequence 3630 ends after reach 100 digits. Zbl 1116.11326 Benito, Manuel; Creyaufmüller, Wolfgang; Varona, Juan L.; Zimmermann, Paul 1 2002 Margarita mathematica in memoriam José Javier (Chicho) Guadalupe Hernández. (Margarita mathematica en memoria de José Javier (Chicho) Guadalupe Hernández.) Zbl 0983.00065 1 2001 Solving dual integral equations on Lebesgue spaces. Zbl 0972.45003 Ciaurri, Óscar; Guadalupe, José J.; Pérez, Mario; Varona, Juan L. 5 2000 Mean and almost everywhere convergence of Fourier-Neumann series. Zbl 0953.42015 Ciaurri, Óscar; Guadalupe, José J.; Pérez, Mario; Varona, Juan L. 6 1999 Advances in aliquot sequences. Zbl 0957.11060 Benito, Manuel; Varona, Juan L. 2 1999 Weighted norm inequalities for polynomial expansions associated to some measures with mass points. Zbl 0893.42014 Guadalupe, J. J.; Pérez, M.; Ruiz, F. J.; Varona, J. L. 5 1996 On completeness of orthogonal systems and Dirac deltas. Zbl 0832.44007 Pérez Riera, Mario; Varona Malumbres, Juan L. 2 1995 Fourier series of functions whose Hankel transform is supported on \([0,1]\). Zbl 0803.42015 Varona, Juan L. 11 1994 Asymptotic behaviour of orthogonal polynomials relative to measures with mass points. Zbl 0791.42016 Guadalupe, José J.; Pérez, Mario; Ruiz, Francisco J.; Varona, Juan L. 11 1993 Mean and weak convergence of Fourier-Bessel series. Zbl 0781.42024 Guadalupe, José J.; Pérez, Mario; Ruiz, Francisco J.; Varona, Juan L. 7 1993 Two notes on convergence and divergence a.e. of Fourier series with respect to some orthogonal systems. Zbl 0756.42017 Guadalupe, J. J.; Perez, M.; Ruiz, F. J.; Varona, J. L. 9 1992 Weighted weak behavior of Fourier-Jacobi series. Zbl 0801.42019 Guadalupe, José J.; Pérez, Mario; Varona, Juan L. 3 1992 Weighted \(L^ p\)-boundedness of Fourier series with respect to generalized Jacobi weights. Zbl 0737.42022 Guadalupe, José J.; Pérez, Mario; Ruiz, Francisco J.; Varona, Juan L. 4 1991 Weak behaviour of Fourier-Jacobi series. Zbl 0708.42013 Guadalupe, José; Pérez, Mario; Varona, Juan L. 8 1990 all cited Publications top 5 cited Publications all top 5 Cited by 517 Authors 49 Varona Malumbres, Juan Luis 25 Ciaurri, Óscar 15 Cordero, Alicia 15 Torregrosa Sanchez, Juan Ramón 14 Pérez, Mario 13 Durán, Antonio José 13 Hernández-Verón, Miguel Ángel 13 Navas, Luis M. 12 Gutiérrez, José Manuel 12 Ruiz, Francisco J. 10 Magreñán, Ángel Alberto 9 Ezquerro, José Antonio 8 Lizama, Carlos 8 Roncal, Luz 8 Salimi, Mehdi 8 Sharifi, Somayeh 7 Argyros, Ioannis Konstantinos 7 Mínguez Ceniceros, Judit 7 Romero, Natalia 6 Chicharro, Francisco I. 6 del Teso, Félix 6 Labarga Varona, Edgar 6 Molina, Mario I. 6 Stempak, Krzysztof 5 Abreu, Luís Daniel 5 Arenas, Alberto 5 Bayad, Abdelmejid 5 Betancor Perez, Jorge Juan 5 González-Camus, Jorge 5 Guadalupe Hernández, José Javier (Chicho) 5 He, Yuan 5 Hernández Paricio, Luis Javier 5 Petković, Ivan M. 5 Sharma, Janak Raj 5 Sharma, Rajni 5 Vindel, Pura 4 Abadias, Luciano 4 Bahl, Ashu 4 Behl, Ramandeep 4 Chen, Yiju 4 Fejzullahu, Bujar Xh. 4 Ferrara, Massimiliano 4 Herceg, Đorđe D. 4 Marcellán Español, Francisco 4 Martínez, Eulalia 4 Neta, Beny 4 Petković, Ljiljana D. 4 Petković, Miodrag S. 4 Plaza, Sergio 4 Simsek, Yilmaz 4 Srivastava, Hari Mohan 3 Aldaz, Jésus Munárriz 3 Amri, Bechir 3 Ansorena, José Luis 3 Araci, Serkan 3 Babajee, Diyashvir Kreetee Rajiv 3 Bello Hernández, Manuel 3 Ćebić, Dejan 3 Delgado, Julio 3 Faustino, Nelson José Rodrigues 3 Fernández, Lidia 3 George, Santhosh 3 Gil Asensi, Alejandro 3 Gómez-Castro, David 3 Honorato, Gerardo 3 Lotfi, Taher 3 Luca, Florian 3 Murillo-Arcila, Marina 3 Nik Long, N. M. A. 3 Pérez, Teresa E. 3 Piñar, Miguel A. 3 Ralević, Nebojša M. Ralević 3 Rezola, María Luisa 3 Rivas Rodríguez, María Teresa 3 Rojas-Molina, Constanza 3 Saoudi, Ahmed 3 Sofo, Anthony 3 Soleymani, Fazlollah 3 Vassileva, María P. 3 Vazquez, Juan Luis 3 Warma, Mahamadi 3 Weber, Frederic 3 Zacher, Rico 2 Albiac, Fernando 2 Alfaro García, Manuel 2 Álvarez-Nodarse, Renato 2 Aransay, Jesús 2 Ardelean, Gheorghe 2 Bañuelos, Rodrigo 2 Bate, Indra 2 Benito, Manuel 2 Boulsane, Mourad 2 Busquier, Sonia 2 Campos, Beatriz 2 Cardona, Duván 2 Chand, Prem Bahadur 2 Chandhini, G. 2 Chun, Changbum 2 Cusimano, Nicole 2 De León-Contreras, Marta ...and 417 more Authors all top 5 Cited in 167 Serials 30 Journal of Mathematical Analysis and Applications 25 Applied Mathematics and Computation 19 Journal of Computational and Applied Mathematics 15 Journal of Approximation Theory 9 Numerical Algorithms 9 International Journal of Computer Mathematics 8 Proceedings of the American Mathematical Society 8 Integral Transforms and Special Functions 8 Mediterranean Journal of Mathematics 7 Physics Letters. A 7 Journal of Functional Analysis 7 Journal of Number Theory 7 S\(\vec{\text{e}}\)MA Journal 5 Mathematical Methods in the Applied Sciences 5 Mathematics of Computation 5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 Mathematical Notes 4 The Journal of Fourier Analysis and Applications 4 Journal of Mathematical Chemistry 4 The Ramanujan Journal 4 Qualitative Theory of Dynamical Systems 4 Advances in Difference Equations 3 Mathematische Nachrichten 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Results in Mathematics 3 SIAM Journal on Numerical Analysis 3 Journal of Complexity 3 Constructive Approximation 3 Applied Mathematics Letters 3 Discrete and Continuous Dynamical Systems 3 Discrete and Continuous Dynamical Systems. Series B 3 International Journal of Number Theory 3 Applicable Analysis and Discrete Mathematics 3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Journal of Computational Physics 2 Journal of Mathematical Physics 2 Journal of Statistical Physics 2 Letters in Mathematical Physics 2 Acta Mathematica Vietnamica 2 Journal of Differential Equations 2 Journal of the Korean Mathematical Society 2 Journal of the London Mathematical Society. Second Series 2 Mathematische Annalen 2 Monatshefte für Mathematik 2 Quaestiones Mathematicae 2 Transactions of the American Mathematical Society 2 Acta Mathematica Hungarica 2 Japan Journal of Industrial and Applied Mathematics 2 Aequationes Mathematicae 2 SIAM Journal on Mathematical Analysis 2 Indagationes Mathematicae. New Series 2 Experimental Mathematics 2 Potential Analysis 2 Filomat 2 Doklady Mathematics 2 Nonlinear Dynamics 2 Annals of Mathematics. Second Series 2 Annales Henri Poincaré 2 La Gaceta de la Real Sociedad Matemática Española 2 Integers 2 Journal of Evolution Equations 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Communications on Pure and Applied Analysis 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Complex Analysis and Operator Theory 2 Journal of Physics A: Mathematical and Theoretical 2 Banach Journal of Mathematical Analysis 2 Algorithms 2 Symmetry 2 Analysis and Mathematical Physics 2 Afrika Matematika 2 Axioms 2 Journal of Complex Analysis 2 Open Mathematics 1 American Mathematical Monthly 1 Applicable Analysis 1 Computers & Mathematics with Applications 1 Communications in Mathematical Physics 1 Discrete Applied Mathematics 1 Discrete Mathematics 1 International Journal of Mathematical Education in Science and Technology 1 Indian Journal of Pure & Applied Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Physica A 1 Rocky Mountain Journal of Mathematics 1 Ukrainian Mathematical Journal 1 Mathematics Magazine 1 Acta Arithmetica 1 Advances in Mathematics 1 Archivum Mathematicum 1 Bulletin of the London Mathematical Society 1 Duke Mathematical Journal 1 Functiones et Approximatio. Commentarii Mathematici 1 Illinois Journal of Mathematics 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Combinatorial Theory. Series A 1 Numerical Functional Analysis and Optimization 1 Numerische Mathematik 1 Semigroup Forum 1 Tôhoku Mathematical Journal. Second Series ...and 67 more Serials all top 5 Cited in 46 Fields 126 Numerical analysis (65-XX) 90 Harmonic analysis on Euclidean spaces (42-XX) 89 Number theory (11-XX) 71 Special functions (33-XX) 57 Partial differential equations (35-XX) 45 Operator theory (47-XX) 40 Dynamical systems and ergodic theory (37-XX) 31 Difference and functional equations (39-XX) 29 Real functions (26-XX) 29 Functions of a complex variable (30-XX) 28 Approximations and expansions (41-XX) 24 Combinatorics (05-XX) 21 Integral transforms, operational calculus (44-XX) 19 Probability theory and stochastic processes (60-XX) 19 Computer science (68-XX) 16 Ordinary differential equations (34-XX) 12 Functional analysis (46-XX) 11 Abstract harmonic analysis (43-XX) 10 Statistical mechanics, structure of matter (82-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 8 Quantum theory (81-XX) 6 Sequences, series, summability (40-XX) 6 Integral equations (45-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Group theory and generalizations (20-XX) 3 Measure and integration (28-XX) 3 Mechanics of particles and systems (70-XX) 3 Fluid mechanics (76-XX) 3 Mathematics education (97-XX) 2 Mathematical logic and foundations (03-XX) 2 Field theory and polynomials (12-XX) 2 Topological groups, Lie groups (22-XX) 2 Potential theory (31-XX) 2 Geometry (51-XX) 2 Convex and discrete geometry (52-XX) 2 Manifolds and cell complexes (57-XX) 2 Operations research, mathematical programming (90-XX) 2 Biology and other natural sciences (92-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Differential geometry (53-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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