132440 20260217205504.0 doi 10.1002/mma.9939 sideral 137579 ART-2024-137579 eng Durán, Antonio J. Summing Sneddon–Bessel series explicitly 2024 Access copy available to the general public Unrestricted We sum in a closed form the Sneddon–Bessel series [fórmula] where 0 < X, 0 < y, x + y < 2, n is an integer, [fórmula] with [fórmula] and [fórmula] are the zeros of the Bessel function [fórmula] of order [fórmula]. In most cases, the explicit expressions for these sums involve hypergeometric functions [fórmula]. As an application, we prove some extensions of the Kneser–Sommerfeld expansion. For instance, we show that [fórmula] if Re v < Re B + 1 and [fórmula](here, Yv denotes the Bessel function of the second kind), which becomes the Kneser–Sommerfeld expansion when B = v. info:eu-repo/grantAgreement/ES/AEI/PID2021-124332NB-C21 info:eu-repo/grantAgreement/ES/AEI/PID2021-124332NB-C22 info:eu-repo/grantAgreement/ES/DGA/E48-23R info:eu-repo/semantics/openAccess by https://creativecommons.org/licenses/by/4.0/deed.es 1.8 2024 MATHEMATICS, APPLIED 78 / 344 = 0.227 2024 Q1 T1 0.63 2024 Engineering (miscellaneous) 2024 Q1 Mathematics (miscellaneous) 2024 Q2 4.9 2024 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Pérez, Mario Universidad de Zaragoza (orcid)0000-0002-3050-3712 Varona, Juan Luis 2006 015 Universidad de Zaragoza Dpto. Matemáticas Área Análisis Matemático 47, 7 (2024), 6590-6606 Math. methods appl. sci. Mathematical Methods in the Applied Sciences 0170-4214 397204 http://zaguan.unizar.es/record/132440/files/texto_completo.pdf Versión publicada 1664151 http://zaguan.unizar.es/record/132440/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:132440 articulos driver 2026-02-17-20:22:50 ARTICLE