Fourier-Dunkl system of the second kind and Euler-Dunkl polynomials

DOI10.1016/j.jat.2019.04.007zbMath1429.33009OpenAlexW2941129502WikidataQ127998629 ScholiaQ127998629MaRDI QIDQ2315025

Antonio J. Duran, Mario Pérez Riera, Juan Luis Varona

Publication date: 31 July 2019

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2019.04.007

zbMATH Keywords

sampling theoremDunkl transformFourier-Dunkl seriesEuler-Dunkl polynomials

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Other Dirichlet series and zeta functions (11M41) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (6)

Boole-Dunkl polynomials and generalizations ⋮ Some Appell-Dunkl sequences ⋮ On the properties of zeros of Bessel series in the real line ⋮ Discrete Appell-Dunkl sequences and Bernoulli-Dunkl polynomials of the second kind ⋮ Asymptotic behavior of Bernoulli-Dunkl and Euler-Dunkl polynomials and their zeros ⋮ Appell-Dunkl sequences and Hurwitz-Dunkl zeta functions

Uses Software

• DLMF

Cites Work

• Mean convergence of Fourier-Dunkl series
• The Dunkl transform
• Bernoulli-Dunkl and Apostol-Euler-Dunkl polynomials with applications to series involving zeros of Bessel functions
• Bernoulli-Dunkl and Euler-Dunkl polynomials and their generalizations
• Differential-Difference Operators Associated to Reflection Groups
• A Whittaker-Shannon-Kotel’nikov sampling theorem related to the Dunkl transform
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