Raising and lowering operators for Askey-Wilson polynomials.
Ramanujan's formulas for the explicit evaluation of the Rogers-Ramanujan continued fraction and theta-functions
Représentations de dimension finie de l’algèbre de Cherednik rationnelle
On donne une condition nécessaire et suffisante pour l’existence de modules de dimension finie sur l’algèbre de Cherednik rationnelle associée à un système de racines.
Representations of the quantum algebra and discrete -ultraspherical polynomials.
Riesz potentials derived by one-mode interacting Fock space approach
The main aim of this short paper is to study Riesz potentials on one-mode interacting Fock spaces equipped with deformed annihilation, creation, and neutral operators with constants and , as in equations (1.4)-(1.6). First, to emphasize the importance of these constants, we summarize our previous results on the Hilbert space of analytic L² functions with respect to a probability measure on ℂ. Then we consider the Riesz kernels of order 2α, , on ℂ if , which can be derived from the Bessel...
Riordan arrays, Sheffer sequences and “orthogonal” polynomials.
Rogers-Ramanujan-Slater type identities.