Some novel generating functions of extended Jacobi polynomials by group theoretic method
Some relations satisfied by Hermite-Hermite matrix polynomials
The classical Hermite-Hermite matrix polynomials for commutative matrices were first studied by Metwally et al. (2008). Our goal is to derive their basic properties including the orthogonality properties and Rodrigues formula. Furthermore, we define a new polynomial associated with the Hermite-Hermite matrix polynomials and establish the matrix differential equation associated with these polynomials. We give the addition theorems, multiplication theorems and summation formula for the Hermite-Hermite...
Some special functions related to unimodular pseudo-orthogonal groups
We obtain some matrix elements of basis transformations in a representation space of the unimodular pseudo-orthogonal group. Using these elements, we derive some formulas for special functions.
Special Functions and Infinite-dimensional Representations of Lie Groups.
Spectral Synthesis on Algebras of Orthogonal Polynomial Series.
Sphärische Untergruppen in kompakten zusammenhängenden Liegruppen
Spherical functions and spectral synthesis
Sur les fonctions d'une variable analogues aux fonctions hypergéométriques
Symmetric and antisymmetric vector-valued Jack polynomials.
The Capelli identity, the double commutant theorem and multiplicity-free-actions.
The Dunkl transform.
The structure of totally disconnected, locally compact groups.
Three results in Dunkl analysis
We first establish a geometric Paley-Wiener theorem for the Dunkl transform in the crystallographic case. Next we obtain an optimal bound for the norm of Dunkl translations in dimension 1. Finally, we describe more precisely the support of the distribution associated to Dunkl translations in higher dimension.
Total characters and Chebyshev polynomials.
Transformation properties of the generalized Muirhead operators
Untersuchungen über die algebraische Transformation der hypergeometrischen Functionen.
Variation on a theme of MacDonald.
Vector fields on the space of functions univalent inside the unit disk via Faber polynomials.
Vector-valued Jack polynomials from scratch.
Zonal Approximation Processes.