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A class of bilateral generating functions for certain classical polynomials

A class of bilateral generating functions for certain classical polynomials

In this paper the authors first prove a theorem on bilateral generating 1 relations for a certain sequence of functions.It is then shown how the main result can be applied to derive a large variety of bilateral generating functions for the Bessel, Jacobi, Her mite, Laguerre and ultraspherical polynomials, as …