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

DOI10.1186/s13662-020-02802-xzbMath1485.42005OpenAlexW3041018556MaRDI QIDQ2114215

Cristina B. Corcino, Roberto B. Corcino

Publication date: 15 March 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-020-02802-x

zbMATH Keywords

Fourier expansionBernoulli polynomialsApostol-Bernoulli polynomialsGenocchi polynomialsEuler polynomialsApostol-Euler polynomialsApostol-Genocchi polynomials

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Related Items (1)

Fourier expansion and integral representation generalized Apostol-type Frobenius-Euler polynomials

Cites Work

• Unnamed Item
• Extensions of the Genocchi polynomials and their Fourier expansions and integral representations
• Large degree asymptotics of generalized Bernoulli and Euler polynomials
• Some new formulas for the products of the Apostol type polynomials
• Some new identities for the Apostol-Bernoulli polynomials and the Apostol-Genocchi polynomials
• Construction of Fourier expansion of Apostol Frobenius-Euler polynomials and its applications
• Asymptotics of Genocchi polynomials and higher order Genocchi polynomials using residues
• Higher-order convolutions for Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials
• Fourier expansions for Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials

This page was built for publication: Fourier expansions for higher-order Apostol-Genocchi, Apostol-Bernoulli and Apostol-Euler polynomials