Discrete Appell-Dunkl sequences and Bernoulli-Dunkl polynomials of the second kind

DOI10.1016/j.jmaa.2021.125832zbMath1501.11036OpenAlexW3211744391MaRDI QIDQ2059985

José Ignacio Extremiana Aldana, Edgar Labarga, Judit Mínguez Ceniceros, Juan Luis Varona

Publication date: 13 December 2021

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.2021.125832

zbMATH Keywords

Dunkl transformAppell-Dunkl sequencesBernoulli-Dunkl polynomialsBernoulli-Dunkl polynomials of the second kind

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Other special orthogonal polynomials and functions (33C47)

Related Items

Boole-Dunkl polynomials and generalizations ⋮ Symmetric identities involving discrete Appell sequences ⋮ Stirling-Dunkl numbers ⋮ Appell-Dunkl sequences and Hurwitz-Dunkl zeta functions

Cites Work

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• The Cauchy numbers
• On the Lerch zeta function
• Two Notes on Notation
• Inverse Bessel Functions: Solution for the Zeros
• Relating transplantation and multipliers for Dunkl and Hankel transforms
• Sums of Products of Bernoulli numbers of the second kind
• Differential-Difference Operators Associated to Reflection Groups
• The Finite Calculus Associated with Bessel Functions
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• Gregory's Method for Numerical Integration
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