On Hahn polynomials and continuous dual Hahn polynomials

摘要

This paper deals with the hypergeometric orthogonal polynomials with special emphasis on the Hahn polynomials and the continuous dual Hahn polynomials. New representations, generating functions, and summation formulas are derived. The addition theorems for the Krawtchouk and the Meixner-Pollaczek polynomials are also included.