Fourier series of sums of products of Bernoulli and Euler/Genocchi functions

Taekyun Kim; Dae San Kim; Toufik Mansour; Gwan-Woo Jang

doi:10.7546/nntdm.2018.24.1.76-93

Fourier series of sums of products of Bernoulli and Euler/Genocchi functions

Taekyun Kim, Dae San Kim, Toufik Mansour, Gwan-Woo Jang

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We study the Fourier series of functions related to sum of products of Bernoulli polynomials and either Euler or Genocchi polynomials. As consequences, several new identities for the Bernoulli, Euler, and Genocchi functions and numbers are derived.

Original language	English
Pages (from-to)	76-93
Number of pages	18
Journal	Notes on Number Theory and Discrete Mathematics
Volume	24
Issue number	1
DOIs	https://doi.org/10.7546/nntdm.2018.24.1.76-93
State	Published - 2018

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10.7546/nntdm.2018.24.1.76-93

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title = "Fourier series of sums of products of Bernoulli and Euler/Genocchi functions",

abstract = "We study the Fourier series of functions related to sum of products of Bernoulli polynomials and either Euler or Genocchi polynomials. As consequences, several new identities for the Bernoulli, Euler, and Genocchi functions and numbers are derived.",

author = "Taekyun Kim and Kim, {Dae San} and Toufik Mansour and Gwan-Woo Jang",

year = "2018",

doi = "10.7546/nntdm.2018.24.1.76-93",

language = "אנגלית",

volume = "24",

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journal = "Notes on Number Theory and Discrete Mathematics",

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AU - Kim, Taekyun

AU - Kim, Dae San

AU - Mansour, Toufik

AU - Jang, Gwan-Woo

PY - 2018

Y1 - 2018

N2 - We study the Fourier series of functions related to sum of products of Bernoulli polynomials and either Euler or Genocchi polynomials. As consequences, several new identities for the Bernoulli, Euler, and Genocchi functions and numbers are derived.

AB - We study the Fourier series of functions related to sum of products of Bernoulli polynomials and either Euler or Genocchi polynomials. As consequences, several new identities for the Bernoulli, Euler, and Genocchi functions and numbers are derived.

U2 - 10.7546/nntdm.2018.24.1.76-93

DO - 10.7546/nntdm.2018.24.1.76-93

M3 - מאמר

SN - 1310-5132

VL - 24

SP - 76

EP - 93

JO - Notes on Number Theory and Discrete Mathematics

JF - Notes on Number Theory and Discrete Mathematics

IS - 1

ER -

Fourier series of sums of products of Bernoulli and Euler/Genocchi functions

Abstract

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