Double summation addition theorems for Jacobi functions of the first and second kind

Cohl, H. S., Costas-Santos R.S., Durand, L., Montoya C. and Ólafsson, G. AMS Contemporary Mathematics Proceedings on Hypergeometric Functions, q-series and Applications. Accepted, 2024

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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