Existence and reduction of generalized Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials

DOI10.5817/AM2019-3-157zbMath1463.11071OpenAlexW2964761629MaRDI QIDQ4972911

Francisco J. Ruiz, Juan Luis Varona, Luis M. Navas

Publication date: 29 November 2019

Published in: Archivum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5817/am2019-3-157

zbMATH Keywords

generating functionsBernoulli polynomialsApostol-Bernoulli polynomialsAppell sequencesApostol-Euler polynomialsApostol-Genocchi polynomialsNørlund polynomials

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Bernoulli and Euler numbers and polynomials (11B68)

Related Items (3)

Appell and Sheffer sequences: on their characterizations through functionals and examples ⋮ Generalized Mixed Type Bernoulli-Gegenbauer Polynomials ⋮ Discrete Appell-Dunkl sequences and Bernoulli-Dunkl polynomials of the second kind

Cites Work

• About extensions of generalized Apostol-type polynomials
• Some generalizations of the Apostol-Bernoulli and Apostol-Euler polynomials
• Some generalizations of the Apostol-Genocchi polynomials and the Stirling numbers of the second kind
• On the Lerch zeta function
• Asymptotic estimates for Apostol-Bernoulli and Apostol-Euler polynomials
• Fourier expansions and integral representations for the Apostol-Bernoulli and Apostol-Euler polynomials
• Fourier expansions for Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials
• Some families of Genocchi type polynomials and their interpolation functions
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