A note on Appell sequences, Mellin transforms and Fourier series

DOI10.1016/j.jmaa.2019.04.019zbMath1484.11088OpenAlexW2936934577MaRDI QIDQ2633883

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

Publication date: 10 May 2019

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: http://zaguan.unizar.es/record/88373

zbMATH Keywords

Mellin transformBernoulli polynomialsSheffer sequencesApostol-Bernoulli polynomialsAppell sequencesLerch transcendent

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Special sequences and polynomials (11B83) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Related Items

Appell-Dunkl sequences and Hurwitz-Dunkl zeta functions

Uses Software

• DLMF
• OEIS

Cites Work

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• Hyperfunctions, formal groups and generalized Lipschitz summation formulas
• The Möbius inversion formula for Fourier series applied to Bernoulli and Euler polynomials
• Appell polynomials as values of special functions
• Continuous Sheffer families. II
• Continuous Sheffer families. I
• The Lerch transcendent from the point of view of Fourier analysis
• On the Lerch zeta function
• On Especial Cases of Boas-Buck-Type Polynomial Sequences