Some Appell-Dunkl sequences

DOI10.1007/s40840-022-01455-1OpenAlexW4313948103MaRDI QIDQ2683165

Judit Mínguez Ceniceros

Publication date: 3 February 2023

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-022-01455-1

zbMATH Keywords

Appell sequencesDunkl transformAppell-Dunkl sequences

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Special sequences and polynomials (11B83) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (1)

Boole-Dunkl polynomials and generalizations

Uses Software

• DLMF

Cites Work

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• Characterization of \(q\)-Dunkl Appell symmetric orthogonal \(q\)-polynomials
• Nonlocal operational calculi for Dunkl operators
• Bernoulli-Dunkl and Apostol-Euler-Dunkl polynomials with applications to series involving zeros of Bessel functions
• Asymptotic behavior of Bernoulli-Dunkl and Euler-Dunkl polynomials and their zeros
• On certain Appell polynomials and their generalizations based on the Tsallis \(q\)-exponential
• Fourier-Dunkl system of the second kind and Euler-Dunkl polynomials
• Bernoulli-Dunkl and Euler-Dunkl polynomials and their generalizations
• Quadratic decomposition of Appell sequences
• Differential-Difference Operators Associated to Reflection Groups
• The Finite Calculus Associated with Bessel Functions
• Dunkl–Appelld-orthogonal polynomials

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