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

Advances in Difference Equations

article

Corcino, Cristina B.¹  Corcino, Roberto B.¹ 

[1] Research Institute for Computational Mathematics and Physics (RICMP), Cebu Normal University;Mathematics Department, Cebu Normal University

关键词: Fourier expansion;    Bernoulli polynomials;    Euler polynomials;    Genocchi polynomials;    Apostol–Genocchi polynomials;    Apostol–Bernoulli polynomials;    Apostol–Euler polynomials;   

DOI  :  10.1186/s13662-020-02802-x

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY