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Goursat’s Hypergeometric Transformations, Revisited

In: Analytic Number Theory, Approximation Theory, and Special Functions

Author

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  • Per W. Karlsson

    (Serbian Academy of Sciences and Arts, Mathematical Institute)

Abstract

In a number of cases pairs of Goursat’s higher-order hypergeometric transformations lend themselves to eliminations of the right-hand members; one just has to make his or her variables equal by solving certain algebraic equations of degree up to six. This is carried out by the aid of Maple, in most cases supplemented by suitable one-to-one variable substitutions.

Suggested Citation

  • Per W. Karlsson, 2014. "Goursat’s Hypergeometric Transformations, Revisited," Springer Books, in: Gradimir V. Milovanović & Michael Th. Rassias (ed.), Analytic Number Theory, Approximation Theory, and Special Functions, edition 127, pages 721-736, Springer.
  • Handle: RePEc:spr:sprchp:978-1-4939-0258-3_27
    DOI: 10.1007/978-1-4939-0258-3_27
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