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Fourier series of sums of products of Genocchi functions and their applications
- Kim, Taekyun;
- Kim, Dae San;
- Jang, Gwan-Woo;
- Kwon, Jongkyum
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10초록
Recently, Luo introduced Fourier expansions of Apostol-Bernoulli, Apostol-Euler and Genocchi polynomials and investigated some interesting identities and properties of these polynomials by using Fourier series. In this paper, we consider three types of functions given by sums of products of Genocchi functions and derive their Fourier series expansions. In addition, we will express each of them in terms of Bernoulli functions. (C) 2017 All rights reserved.
키워드
Fourier series; Genocchi functions; Genocchi polynomials; EULER NUMBERS; BERNOULLI; POLYNOMIALS; EXTENSIONS; IDENTITIES
- 제목
- Fourier series of sums of products of Genocchi functions and their applications
- 저자
- Kim, Taekyun; Kim, Dae San; Jang, Gwan-Woo; Kwon, Jongkyum
- 발행일
- 2017
- 유형
- Article
- 권
- 10
- 호
- 4
- 페이지
- 1683 ~ 1694