Fourier expansions for higher-order Apostol–Genocchi, Apostol–Bernoulli and Apostol–Euler polynomials

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:
Fourier expansion
Bernoulli polynomials
Euler polynomials
Genocchi polynomials
Apostol–Genocchi polynomials
Apostol–Bernoulli polynomials
Online Access:http://link.springer.com/article/10.1186/s13662-020-02802-x

Internet

http://link.springer.com/article/10.1186/s13662-020-02802-x

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