Discrete Appell-Dunkl sequences and Bernoulli-Dunkl polynomials of the second kind
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Publication:2059985
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
Dunkl transformAppell-Dunkl sequencesBernoulli-Dunkl polynomialsBernoulli-Dunkl polynomials of the second kind
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
- Interpolation by weighted Paley-Wiener spaces associated with the Dunkl transform
- Riesz transform and Riesz potentials for Dunkl transform
- Mean convergence of Fourier-Dunkl series
- Sums of products of Cauchy numbers
- The Dunkl transform
- Bernoulli-Dunkl and Apostol-Euler-Dunkl polynomials with applications to series involving zeros of Bessel functions
- Fourier-Dunkl system of the second kind and Euler-Dunkl polynomials
- Bernoulli-Dunkl and Euler-Dunkl polynomials and their generalizations
- Binomial convolution and transformations of Appell polynomials
- On Appell sequences of polynomials of Bernoulli and Euler type
- 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
- Paley-Wiener Theorems for the Dunkl Transform and Dunkl Translation Operators
- A positive radial product formula for the Dunkl kernel
- Existence and reduction of generalized Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials
- On the Dunkl convolution equations in spaces of type
- The multiplier of the interval [−1, 1 for the Dunkl transform of arbitrary order on the real line]
- Gregory's Method for Numerical Integration
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