Some generating functions of modified Bessel polynomials from the view point of Lie group.
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.