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Paper: Special values for the continuous \(q\)-Jacobi polynomials with application to its Poisson kernel

Special values for the continuous \(q\)-Jacobi polynomials with application to its Poisson kernel

Cohl, H. S. and Costas-Santos, R. S. Proceedings of the 16th International Symposium on Orthogonal Polynomials, Special Functions and Applications. Accepted, 2023

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.

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