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Fourier series of sums of products of higher-order genocchi functions

Authors
Kim, D.S.Kim, T.Kwon, H.-I.Kwon, J.
Issue Date
2018
Publisher
Jangjeon Mathematical Society
Keywords
Fourier series; Genocchi polynomials; Sums of products of higher-order Genocchi functions
Citation
Advanced Studies in Contemporary Mathematics (Kyungshang), v.28, no.2, pp 215 - 230
Pages
16
Indexed
SCOPUS
KCI
Journal Title
Advanced Studies in Contemporary Mathematics (Kyungshang)
Volume
28
Number
2
Start Page
215
End Page
230
URI
https://scholarworks.gnu.ac.kr/handle/sw.gnu/13027
DOI
10.17777/ascm2018.28.2.215
ISSN
1229-3067
Abstract
In this paper, we study three types of functions given by sums of products of higher-order Genocchi functions and derive their Fourier series expansions. Moreover, we express each of them in terms of Bernoulli functions from which the corresponding polynomial identities follow immediately. ? 2018 Jangjeon Mathematical Society. All rights reserved.
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