Special values for continuous q-Jacobi polynomials

2023/03/23 by Cohl, Howard S., Costas-Santos, Roberto S.
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.2303.13680

Abstract

We study special values for the continuous q-Jacobi polynomials and present applications of these special values which arise from bilinear generating functions, and in particular the Poisson kernel for these polynomials.

Related

• Bilinear generating functions for orthogonal polynomials
• Continuous q-Hermite polynomials: An elementary approach
• A counterexample to a conjecture of M. Ismail
• Some generating functions for q-polynomials
• On Jacobi and continuous Hahn polynomials