SOME GENERATING-FUNCTIONS FOR THE JACOBI-POLYNOMIALS

A certain family of generating functions for the classical Jacobi polynomials, given earlier by R.K. Saxena and Z. Hussain [1], are observed here to be derivable directly from some known (and readily available) results in the literature. An interesting generalization of the aforementioned generating functions emerges naturally in the process. Some relevant connections of these results with various known generating functions are also pointed out.