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arxiv: 1405.1918 · v2 · pith:37FGV7IGnew · submitted 2014-05-08 · 🧮 math.CA

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

classification 🧮 math.CA
keywords continuouspolynomialsaskeyfunctionsgeneratinghahnhigherorthogonal
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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.

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