Bernoulli-Dunkl and Euler-Dunkl polynomials and their generalizations

DOI10.1007/s13398-019-00662-zzbMath1435.11042OpenAlexW2923479741WikidataQ128169240 ScholiaQ128169240MaRDI QIDQ2317611

Judit Mínguez Ceniceros, Óscar Ciaurri, Juan Luis Varona

Publication date: 12 August 2019

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-019-00662-z

zbMATH Keywords

Appell-Dunkl sequencesBernoulli-Dunkl polynomialsEuler-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 (11)

On certain Appell polynomials and their generalizations based on the Tsallis \(q\)-exponential ⋮ Boole-Dunkl polynomials and generalizations ⋮ Some Appell-Dunkl sequences ⋮ Logarithmic convexity and increasing property of the Bernoulli numbers and their ratios ⋮ On the properties of zeros of Bessel series in the real line ⋮ Discrete Appell-Dunkl sequences and Bernoulli-Dunkl polynomials of the second kind ⋮ Fourier-Dunkl system of the second kind and Euler-Dunkl polynomials ⋮ Asymptotic behavior of Bernoulli-Dunkl and Euler-Dunkl polynomials and their zeros ⋮ Stirling-Dunkl numbers ⋮ A method for summing Bessel series and a couple of illustrative examples ⋮ Appell-Dunkl sequences and Hurwitz-Dunkl zeta functions

Uses Software

• DLMF

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Characterization of \(q\)-Dunkl Appell symmetric orthogonal \(q\)-polynomials
• Mean convergence of Fourier-Dunkl series
• Nonlocal operational calculi for Dunkl operators
• Bernoulli-Dunkl and Apostol-Euler-Dunkl polynomials with applications to series involving zeros of Bessel functions
• Differential-Difference Operators Associated to Reflection Groups
• The Finite Calculus Associated with Bessel Functions
• A Whittaker-Shannon-Kotel’nikov sampling theorem related to the Dunkl transform
• Dunkl–Appelld-orthogonal polynomials

This page was built for publication: Bernoulli-Dunkl and Euler-Dunkl polynomials and their generalizations