On the properties of zeros of Bessel series in the real line

Durán, A.J. ; Pérez, M. (Universidad de Zaragoza) ; Varona, J.L.

Resumen: For a given sequence of real numbers (Formula presented.), we define the function (Formula presented.) where (Formula presented.), (Formula presented.) denotes the Bessel function of order µ, and (Formula presented.) are the positive zeros of  (Formula presented.). In this paper, we study the function (Formula presented.) and some outstanding instances of it on the whole real line and propose a number of conjectures about its positive zeros.

Idioma: Inglés

DOI: 10.1080/10652469.2020.1867129

Año: 2021

Publicado en: Integral transforms and special functions 32, 11 (2021), 912-931
ISSN: 1065-2469

Factor impacto JCR: 1.167 (2021)

Categ. JCR: MATHEMATICS rank: 119 / 333 = 0.357 (2021) - Q2 - T2
Categ. JCR: MATHEMATICS, APPLIED rank: 172 / 267 = 0.644 (2021) - Q3 - T2

Factor impacto CITESCORE: 1.8 - Mathematics (Q2)

Factor impacto SCIMAGO: 0.741 - Applied Mathematics (Q2) - Analysis (Q2)

Financiación: info:eu-repo/grantAgreement/ES/DGA/E26-17R
Financiación: info:eu-repo/grantAgreement/ES/MICINN/PGC2018-096504-B-C31
Financiación: info:eu-repo/grantAgreement/ES/MICINN/PGC2018-096504-B-C32

Tipo y forma: Article (PostPrint)

Área (Departamento): Área Análisis Matemático (Dpto. Matemáticas)