The bivariate hahn polynomials

الملخص EN

In this paper, we write the bivariate Hahn polynomials ^„(a,x) by a special representation of the Cauchy operator and the limit technique are used for deriving the basic identities: generating function, Mehler’s formula, Rogers formula (with it’s special cases), another Rogers-type formula, and linearization formula.

Also, we introduce an extensions for generating function, Mehler’s formula, Rogers formula and another extended identities for Hahn polynomials.