Algebraic properties and Fourier expansions of two-dimensional Apostol-Bernoulli and Apostol-Euler polynomials

DOI10.1016/j.amc.2015.05.128zbMath1410.33025OpenAlexW755298083MaRDI QIDQ1664277

Abdelmejid Bayad, Luis M. Navas

Publication date: 24 August 2018

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.05.128

zbMATH Keywords

generating functionsdifference equationsFourier expansions2D Apostol-Bernoulli polynomials

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Other special orthogonal polynomials and functions (33C47)

Related Items (2)

Sums of finite products of Legendre and Laguerre polynomials ⋮ Möbius inversion formulas related to the Fourier expansions of two-dimensional Apostol-Bernoulli polynomials

Cites Work

• Differential equations for the extended 2D Bernoulli and Euler polynomials
• Multidimensional extensions of the Bernoulli and Appell polynomials
• Generalizations of the Bernoulli and Appell polynomials
• Some generalizations of 2D Bernoulli polynomials
• 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
• The multiplication formulas for the Apostol–Bernoulli and Apostol–Euler polynomials of higher order

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