Appell polynomials as values of special functions

DOI10.1016/J.JMAA.2017.10.049zbMath1434.11068OpenAlexW2766984334MaRDI QIDQ1684722

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

Publication date: 12 December 2017

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.10.049

zbMATH Keywords

special functionsMellin transformsAppell sequencesLerch transcendent

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Special sequences and polynomials (11B83) Hurwitz and Lerch zeta functions (11M35)

Related Items (7)

A note on Appell sequences, Mellin transforms and Fourier series ⋮ Unnamed Item ⋮ Appell and Sheffer sequences: on their characterizations through functionals and examples ⋮ Representing polynomials by degenerate Bernoulli polynomials ⋮ A connection between power series and Dirichlet series ⋮ Stirling-Dunkl numbers ⋮ Appell-Dunkl sequences and Hurwitz-Dunkl zeta functions

Cites Work

• Unnamed Item
• Continuous Sheffer families. II
• Reduction and duality of the generalized Hurwitz-Lerch zetas
• Continuous Sheffer families. I
• A sequence of numbers related to the exponential function
• Some sequences of rational numbers related to the exponential function
• On the Lerch zeta function
• Asymptotic estimates for Apostol-Bernoulli and Apostol-Euler polynomials

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