Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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INTEGRAL REPRESENTATION OF SOME BASIC K-HYPERGEOMETRIC FUNCTIONS

  • ALI, ASAD (Department of Mathematics and Statistics, University of agriculture Faisalabad(38000)) ;
  • IQBAL, MUHAMMAD ZAFAR (Department of Mathematics and Statistics, University of agriculture Faisalabad(38000))
  • Received : 2020.12.11
  • Accepted : 2021.04.07
  • Published : 2022.01.30
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Abstract

In this paper we give a simple and direct proof of an Euler integral representation for a special class of q+1Fq,k k-hypergeometric functions for q ≥ 2. The values of certain 3F2,k and 4F3,k functions at $x=\frac{1}{k}$, some of which can be derived using other methods. We may conclude that for k = 1 the results are reduced to [3].

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References

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