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A new class of generating functions for generalized hypergeometric polynomials is obtained. Applications are given for the classical polynomials containing parameters, such as Jacobi, ultraspherical, and Laguerre polynomials, as well as for Hermite and Bessel polynomials. Two classes of generating functions recently obtained by J. W. Brown are discussed for independence. \ n / Ll + a+(b-l)n,h,---,ba; J The two generating functions, (1.2) and (1.3), were applied in  only Received by thedoi:10.1090/s0002-9939-1970-0264123-3 fatcat:tfvpqlnhqnbrrlh3im5grq3s2e