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)
You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. You may not use the material for commercial purposes. If you remix, transform, or build upon the material, you may not distribute the modified material.
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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)
You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. You may not use the material for commercial purposes. If you remix, transform, or build upon the material, you may not distribute the modified material. Exportado de SIDERAL (2020-06-09-12:25:46)
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Record created 2020-06-09, last modified 2020-06-09