Fourier expansions for higher-order Apostol–Genocchi, Apostol–Bernoulli and Apostol–Euler polynomials
Abstract Fourier expansions of higher-order Apostol–Genocchi and Apostol–Bernoulli polynomials are obtained using Laurent series and residues. The Fourier expansion of higher-order Apostol–Euler polynomials is obtained as a consequence.
Main Authors: | , |
---|---|
Format: | Article |
Language: | English |
Published: |
SpringerOpen
2020-07-01
|
Series: | Advances in Difference Equations |
Subjects: | |
Online Access: | http://link.springer.com/article/10.1186/s13662-020-02802-x |
id |
doaj-2e6cdd4f60a84985820174eaa6c4f341 |
---|---|
record_format |
Article |
spelling |
doaj-2e6cdd4f60a84985820174eaa6c4f3412020-11-25T03:46:11ZengSpringerOpenAdvances in Difference Equations1687-18472020-07-012020111310.1186/s13662-020-02802-xFourier expansions for higher-order Apostol–Genocchi, Apostol–Bernoulli and Apostol–Euler polynomialsCristina B. Corcino0Roberto B. Corcino1Research Institute for Computational Mathematics and Physics (RICMP), Cebu Normal UniversityResearch Institute for Computational Mathematics and Physics (RICMP), Cebu Normal UniversityAbstract Fourier expansions of higher-order Apostol–Genocchi and Apostol–Bernoulli polynomials are obtained using Laurent series and residues. The Fourier expansion of higher-order Apostol–Euler polynomials is obtained as a consequence.http://link.springer.com/article/10.1186/s13662-020-02802-xFourier expansionBernoulli polynomialsEuler polynomialsGenocchi polynomialsApostol–Genocchi polynomialsApostol–Bernoulli polynomials |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Cristina B. Corcino Roberto B. Corcino |
spellingShingle |
Cristina B. Corcino Roberto B. Corcino Fourier expansions for higher-order Apostol–Genocchi, Apostol–Bernoulli and Apostol–Euler polynomials Advances in Difference Equations Fourier expansion Bernoulli polynomials Euler polynomials Genocchi polynomials Apostol–Genocchi polynomials Apostol–Bernoulli polynomials |
author_facet |
Cristina B. Corcino Roberto B. Corcino |
author_sort |
Cristina B. Corcino |
title |
Fourier expansions for higher-order Apostol–Genocchi, Apostol–Bernoulli and Apostol–Euler polynomials |
title_short |
Fourier expansions for higher-order Apostol–Genocchi, Apostol–Bernoulli and Apostol–Euler polynomials |
title_full |
Fourier expansions for higher-order Apostol–Genocchi, Apostol–Bernoulli and Apostol–Euler polynomials |
title_fullStr |
Fourier expansions for higher-order Apostol–Genocchi, Apostol–Bernoulli and Apostol–Euler polynomials |
title_full_unstemmed |
Fourier expansions for higher-order Apostol–Genocchi, Apostol–Bernoulli and Apostol–Euler polynomials |
title_sort |
fourier expansions for higher-order apostol–genocchi, apostol–bernoulli and apostol–euler polynomials |
publisher |
SpringerOpen |
series |
Advances in Difference Equations |
issn |
1687-1847 |
publishDate |
2020-07-01 |
description |
Abstract Fourier expansions of higher-order Apostol–Genocchi and Apostol–Bernoulli polynomials are obtained using Laurent series and residues. The Fourier expansion of higher-order Apostol–Euler polynomials is obtained as a consequence. |
topic |
Fourier expansion Bernoulli polynomials Euler polynomials Genocchi polynomials Apostol–Genocchi polynomials Apostol–Bernoulli polynomials |
url |
http://link.springer.com/article/10.1186/s13662-020-02802-x |
work_keys_str_mv |
AT cristinabcorcino fourierexpansionsforhigherorderapostolgenocchiapostolbernoulliandapostoleulerpolynomials AT robertobcorcino fourierexpansionsforhigherorderapostolgenocchiapostolbernoulliandapostoleulerpolynomials |
_version_ |
1724507396139646976 |