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Some Results Associated With K-Hypergeometric Functions

Vinita Gupta, Mukul Bhatt Published in Algorithms

Some Results Associated With K-Hypergeometric Functions
IJAIS Proceedings on International Conference and Workshop on Communication, Computing and Virtualization
Year of Publication: 2015
© 2015 by IJAIS Journal
Series icwccv2015 Number 3
Authors Vinita Gupta, Mukul Bhatt
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  1. Vinita Gupta and Mukul Bhatt. Article: Some Results Associated With K-Hypergeometric Functions. IJAIS Proceedings on International Conference and Workshop on Communication, Computing and Virtualization ICWCCV 2015(3):29-31, September 2015. BibTeX

    @article{key:article,
	author = "Vinita Gupta and Mukul Bhatt",
	title = "Article: Some Results Associated With K-Hypergeometric Functions",
	journal = "IJAIS Proceedings on International Conference and Workshop on Communication, Computing and Virtualization",
	year = 2015,
	volume = "ICWCCV 2015",
	number = 3,
	pages = "29-31",
	month = "September",
	note = "Published by Foundation of Computer Science, New York, USA"
}

Abstract

An integral representation of some generalized k-hypergeometric functions (introduced by Mubeen and Habibullah) is used to develop some new results of k-hypergeometric functions assuming different values of m in generalized k-hypergeometric functions. k-beta transform of k-hypergeometric functions is also obtained by using k-beta functions introduced by Diaz et al.

Reference

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  2. R. Diaz, and E. Pariguan (2007), On hypergeometric functions and Pochhammer k-symbol, Divulgaciones Matemticas, 15, 179-192.
  3. R. Diaz, and C. Teruel (2005), q; k-Generalized gamma and beta functions, Journal of Nonlinear Mathematical Physics, 12, 118-134.
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  12. International Mathematical Forum, 7, 203-207.
  13. S. Mubeen (2012), k-Analogue of Kummer's first formula, Journal of Inequalities and Special Functions, 3, 41-44.
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  15. E. D. Rainville(1965), Special Functions, The Macmillan Company, New York.
  16. E. Pariguan, R. Diaz(2007), On hypergeometric functions and pochhammer k-symbol, Divulgaciones Matematicas,15,179-192.
  17. S. J. Lucy(1966), Generalized Hypergeometric Functions, Cambridge University Press.

Keywords

k-gamma function, k-beta function, hypergeometric functions, generalized k-hypergeometric functions, k-beta transform