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Some Examples of RS 2 3(3)-Transformations of Ranks 5 and 6 as the Higher Order Transformations for the Hypergeometric Function

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Abstract

A combination of rational mappings and Schlesinger transformations for a matrix form of the hypergeometric equation is used to construct higher order transformations for the Gauss hypergeometric function.

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Authors and Affiliations

  1. Department of Mathematics, Western Illinois University, Macomb, Illinois, 61455

    F.V. Andreev

  2. Steklov Mathematical Institute, Fontanka 27, St. Petersburg, 191011, Russia

    A.V. Kitaev

Authors
  1. F.V. Andreev
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  2. A.V. Kitaev
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Andreev, F., Kitaev, A. Some Examples of RS 2 3(3)-Transformations of Ranks 5 and 6 as the Higher Order Transformations for the Hypergeometric Function. The Ramanujan Journal 7, 455–476 (2003). https://doi.org/10.1023/B:RAMA.0000012428.77217.bc

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  • DOI: https://doi.org/10.1023/B:RAMA.0000012428.77217.bc

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