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Generalizations of generating functions for hypergeometric orthogonal polynomials with definite integrals (1302.2474v1)
Published 11 Feb 2013 in math.CA
Abstract: We generalize generating functions for hypergeometric orthogonal polynomials, namely Jacobi, Gegenbauer, Laguerre, and Wilson polynomials. These generalizations of generating functions are accomplished through series rearrangement using connection relations with one free parameter for these orthogonal polynomials. We also use orthogonality relations to determine corresponding definite integrals.