Bernoulli–Dunkl and Apostol–Euler–Dunkl polynomials with applications to series involving zeros of Bessel functions

Ciaurri, Óscar ; Durán, Antonio J. ; Pérez, Mario (Universidad de Zaragoza) ; Varona, Juan L.

Resumen: We introduce Bernoulli–Dunkl and Apostol–Euler–Dunkl polynomials as generalizations of Bernoulli and Apostol–Euler polynomials, where the role of the derivative is now played by the Dunkl operator on the real line. We use them to find the sum of many different series involving the zeros of Bessel functions.

Idioma: Inglés

DOI: 10.1016/j.jat.2018.06.001

Año: 2018

Publicado en: Journal of Approximation Theory 235 (2018), 20-45
ISSN: 0021-9045

Factor impacto JCR: 1.022 (2018)

Categ. JCR: MATHEMATICS rank: 88 / 313 = 0.281 (2018) - Q2 - T1

Factor impacto SCIMAGO: 0.839 - Analysis (Q1) - Numerical Analysis (Q1) - Mathematics (miscellaneous) (Q1) - Applied Mathematics (Q1)

Tipo y forma: Article (PostPrint)

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