Certain generating functions for the quadruple hypergeometric series K10

Praveen Agarwal, Jihad A. Younis and Taekyun Kim
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 25, 2019, Number 4, Pages 16–23
DOI: 10.7546/nntdm.2019.25.4.16-23
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Authors and affiliations

Praveen Agarwal
Department of Mathematics, Harish-Chandra Research Institute (HRI)
Allahbad-211 019, UP, India

Jihad A. Younis
Department of Mathematics, Aden University
Aden, Yemen

Taekyun Kim
Department of Mathematics, College of Natural Science
Kwangwoon University, Seoul 139-704, South Korea

Abstract

In this work we aim at establishing certain generating relations, involving the Exton
function of four variables K10. Some special cases of the main results here are also considered.

Keywords

  • Laplace integral
  • Quadruple hypergeometric series
  • Generating functions

2010 Mathematics Subject Classification

  • 33C50
  • 33C56

References

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  5. Exton, H. (1976). Multiple Hypergeometric Functions and Applications. Halsted Press, New York, London, Sydney and Toronto.
  6. Lauricella, G. (1893). Sull funzioni ipergeometric a piu variabili. Rend. Cric. Mat. Palermo, 7, 111–158.
  7. Rainville, E. D. (1960). Special Functions. Chelsea Pub. Com., New York.
  8. Srivastava, H. M., Agarwal, P. & Jain, S. (2014). Generating functions for the generalized Gauss hypergeometric functions. Appl. Math. Comput., 247, 348–352.
  9. Srivastava, H. M. & Karlsson, P. W. (1985). Multiple Gaussian Hypergeometric Series. Halsted Press, Bristone, London, New York and Toronto.
  10. Srivastava, H. M. & Manocha, H. L. (1984). A Treatise on Generating Functions. Ellis Horwood Lt1., Chichester.

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Cite this paper

APA

Agarwal, P., Younis, J. A. & Kim, T. (2019).  Certain generating functions for the quadruple hypergeometric series K10. Notes on Number Theory and Discrete Mathematics, 25(4), 16-23, doi: 10.7546/nntdm.2019.25.4.16-23.

Chicago

Agarwal, Praveen, Jihad A. Younis and Taekyun Kim. “Certain Generating Functions for the Quadruple Hypergeometric Series K10.” Notes on Number Theory and Discrete Mathematics 25, no. 4 (2019): 16-23, doi: 10.7546/nntdm.2019.25.4.16-23.

MLA

Agarwal, Praveen, Jihad A. Younis and Taekyun Kim. “Certain Generating Functions for the Quadruple Hypergeometric Series K10.” Notes on Number Theory and Discrete Mathematics 25.4 (2019): 16-23. Print, doi: 10.7546/nntdm.2019.25.4.16-23.

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