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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Special Values for the Continuous q-Jacobi Polynomials with Application to its Poisson Kernel

  • Howard S. Cohl,
  • Roberto S. Costas-Santos

摘要

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.