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.

Bibliographic Details
Main Authors: Cristina B. Corcino, Roberto B. Corcino
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