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Extended Multivariable Hypergeometric Functions

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Analysis, Probability, Applications, and Computation

Part of the book series: Trends in Mathematics ((RESPERSP))

Abstract

In this chapter, we define an extension of multivariable hypergeometric functions. We obtain a generating function for these functions. Furthermore, we derive a family of multilinear and multilateral generating functions for these extended multivariable hypergeometric functions.

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Author information

Authors and Affiliations

  1. Kafkas University, Faculty of Economics and Administrative Sciences, Department of Business Administration, Kars, Turkey

    Duriye Korkmaz-Duzgun

  2. Gazi University, Faculty of Science, Department of Mathematics, Ankara, Turkey

    Esra Erkuş-Duman

Authors
  1. Duriye Korkmaz-Duzgun
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  2. Esra Erkuş-Duman
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Corresponding author

Correspondence to Duriye Korkmaz-Duzgun .

Editor information

Editors and Affiliations

  1. Department of Mathematics, Linnaeus University, Växjö, Sweden

    Karl‐Olof Lindahl

  2. Department of Mathematics, Linnaeus University, Växjö, Sweden

    Torsten Lindström

  3. Department of Mathematics, University of Torino, Torino, Italy

    Luigi G. Rodino

  4. Department of Mathematics, Linnaeus University, Växjö, Sweden

    Joachim Toft

  5. Department of Mathematics, Linnaeus University, Växjö, Sweden

    Patrik Wahlberg

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Korkmaz-Duzgun, D., Erkuş-Duman, E. (2019). Extended Multivariable Hypergeometric Functions. In: Lindahl, K., Lindström, T., Rodino, L., Toft, J., Wahlberg, P. (eds) Analysis, Probability, Applications, and Computation. Trends in Mathematics(). Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-04459-6_2

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