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Part of the book series: NATO Science Series ((NAII,volume 35))

Abstract

A brief review of orthogonal polynomials and biorthogonal rational functions of hypergeometric type is given. A new set of continuous biorthogonal functions built from modular hypergeometric series is presented. Relations with some q-beta, integrals and an elliptic beta integral are considered.

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Spiridonov, V.P. (2001). Elliptic Beta Integrals and Special Functions of Hypergeometric Type. In: Pakuliak, S., von Gehlen, G. (eds) Integrable Structures of Exactly Solvable Two-Dimensional Models of Quantum Field Theory. NATO Science Series, vol 35. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0670-5_19

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  • DOI: https://doi.org/10.1007/978-94-010-0670-5_19

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-0-7923-7184-7

  • Online ISBN: 978-94-010-0670-5

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