arXiv:1405.1918 Abstract | arXiv Analytics

arXiv:1405.1918 [math.CA]Abstract References Reviews Resources

Generalizations of generating functions for higher continuous hypergeometric orthogonal polynomials in the Askey scheme

Michael A. Baeder, Howard S. Cohl, Hans Volkmer

Published 2014-05-08, updated 2014-10-23Version 2

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.

Categories: math.CA

Subjects: 33C45, 33C20, 34L10, 30D10

Keywords: higher continuous hypergeometric orthogonal polynomials, askey scheme, generating functions, generalizations, determine corresponding definite integrals

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