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Generalizations of generating functions for higher continuous hypergeometric orthogonal polynomials in the Askey scheme (1405.1918v2)
Published 8 May 2014 in math.CA
Abstract: We use connection relations and series rearrangement to generalize generating functions for several higher continuous orthogonal polynomials in the Askey scheme, namely the Wilson, continuous dual Hahn, continuous Hahn, and Meixner-Pollaczek polynomials. We also determine corresponding definite integrals using the orthogonality relations for these polynomials.