Fourier series of finite products of Bernoulli and Genocchi functions

In this paper, we consider three types of functions given by products of Bernoulli and Genocchi functions and derive some new identities arising from Fourier series expansions associated with Bernoulli and Genocchi functions. Furthermore, we will express each of them in terms of Bernoulli functions.

Detalles Bibliográficos
Autores principales: Kim, Taekyun, Kim, Dae San, Jang, Gwan-Woo, Kwon, Jongkyum
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5493731/
https://www.ncbi.nlm.nih.gov/pubmed/28725134
http://dx.doi.org/10.1186/s13660-017-1431-y
Descripción
Sumario:In this paper, we consider three types of functions given by products of Bernoulli and Genocchi functions and derive some new identities arising from Fourier series expansions associated with Bernoulli and Genocchi functions. Furthermore, we will express each of them in terms of Bernoulli functions.

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