000132440 001__ 132440 000132440 005__ 20240711085511.0 000132440 0247_ $$2doi$$a10.1002/mma.9939 000132440 0248_ $$2sideral$$a137579 000132440 037__ $$aART-2024-137579 000132440 041__ $$aeng 000132440 100__ $$aDurán, Antonio J. 000132440 245__ $$aSumming Sneddon–Bessel series explicitly 000132440 260__ $$c2024 000132440 5060_ $$aAccess copy available to the general public$$fUnrestricted 000132440 5203_ $$aWe 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. 000132440 536__ $$9info:eu-repo/grantAgreement/ES/AEI/PID2021-124332NB-C21$$9info:eu-repo/grantAgreement/ES/AEI/PID2021-124332NB-C22$$9info:eu-repo/grantAgreement/ES/DGA/E48-23R 000132440 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttp://creativecommons.org/licenses/by/3.0/es/ 000132440 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000132440 700__ $$0(orcid)0000-0002-3050-3712$$aPérez, Mario$$uUniversidad de Zaragoza 000132440 700__ $$aVarona, Juan Luis 000132440 7102_ $$12006$$2015$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Análisis Matemático 000132440 773__ $$g47, 7 (2024), 6590-6606$$pMath. methods appl. sci.$$tMathematical Methods in the Applied Sciences$$x0170-4214 000132440 8564_ $$s397204$$uhttps://zaguan.unizar.es/record/132440/files/texto_completo.pdf$$yVersión publicada 000132440 8564_ $$s1664151$$uhttps://zaguan.unizar.es/record/132440/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000132440 909CO $$ooai:zaguan.unizar.es:132440$$particulos$$pdriver 000132440 951__ $$a2024-07-11-08:52:28 000132440 980__ $$aARTICLE