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A Non-linear Relation for Certain Hypergeometric Functions

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Asymptotic, Algebraic and Geometric Aspects of Integrable Systems

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 338))

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Abstract

We describe a family of Gaussian hypergeometric functions that satisfy a nonlinear differential identity.

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References

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Acknowledgements

Research was supported by Max-Planck-Institut für Mathematik Bonn. The authors wish to thank Avgust Tsikh for inspiring discussions.

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Authors and Affiliations

  1. School of Science and Technology, University of New England, Armidale, NSW, 2351, Australia

    Gerd Schmalz

  2. College of Science and Engineering, Flinders University, 1284 South Road, Tonsley, SA, 5042, Australia

    Vladimir Ezhov

  3. Department of Mathematical Analysis, Faculty of Mechanics and Mathematics, Moscow State University, Leninskie Gory, 1, 119234, Moscow, Russia

    Vladimir Ezhov

Authors
  1. Gerd Schmalz
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  2. Vladimir Ezhov
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Corresponding author

Correspondence to Vladimir Ezhov .

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Editors and Affiliations

  1. School of Mathematics, University of Leeds, Leeds, UK

    Frank Nijhoff

  2. College of Science and Engineering, Flinders at Tonsley, Adelaide, SA, Australia

    Yang Shi

  3. Department of Mathematics, Shanghai University, Shanghai, China

    Da-jun Zhang

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Schmalz, G., Ezhov, V. (2020). A Non-linear Relation for Certain Hypergeometric Functions. In: Nijhoff, F., Shi, Y., Zhang, Dj. (eds) Asymptotic, Algebraic and Geometric Aspects of Integrable Systems. Springer Proceedings in Mathematics & Statistics, vol 338. Springer, Cham. https://doi.org/10.1007/978-3-030-57000-2_3

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