A general method to find special functions that interpolate Appell polynomials, with examples

DOI10.1016/j.jmaa.2023.127825zbMath1542.11034MaRDI QIDQ6542908

Alejandro Gil Asensi, Juan Luis Varona

Publication date: 23 May 2024

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

zbMATH Keywords

special functionsMellin transformsAppell sequencestruncated exponential polynomialsAppell-Dunkl polynomials

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Gamma, beta and polygamma functions (33B15) Integral transforms of special functions (44A20) Special sequences and polynomials (11B83)

Cites Work

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• Appell polynomials as values of special functions
• A note on truncated polynomials
• Continuous Sheffer families. II
• Appell-Dunkl sequences and Hurwitz-Dunkl zeta functions
• A connection between power series and Dirichlet series
• Continuous Sheffer families. I
• Fourier-Dunkl system of the second kind and Euler-Dunkl polynomials
• Bernoulli-Dunkl and Euler-Dunkl polynomials and their generalizations
• Introduction to the theory of Fourier integrals.
• A note on Appell sequences, Mellin transforms and Fourier series
• Some Appell-Dunkl sequences
• Meijer G-Functions: A Gentle Introduction
• Differential-Difference Operators Associated to Reflection Groups

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