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Reseach Article

Some Results Associated With K-Hypergeometric Functions

Published on September 2015 by Vinita Gupta, Mukul Bhatt
International Conference and Workshop on Communication, Computing and Virtualization
Foundation of Computer Science USA
ICWCCV2015 - Number 3
September 2015
Authors: Vinita Gupta, Mukul Bhatt
5a8c2d56-7a51-41ea-a06d-b808819228f9

Vinita Gupta, Mukul Bhatt . Some Results Associated With K-Hypergeometric Functions. International Conference and Workshop on Communication, Computing and Virtualization. ICWCCV2015, 3 (September 2015), 0-0.

@article{
author = { Vinita Gupta, Mukul Bhatt },
title = { Some Results Associated With K-Hypergeometric Functions },
journal = { International Conference and Workshop on Communication, Computing and Virtualization },
issue_date = { September 2015 },
volume = { ICWCCV2015 },
number = { 3 },
month = { September },
year = { 2015 },
issn = 2249-0868,
pages = { 0-0 },
numpages = 1,
url = { /proceedings/icwccv2015/number3/805-1579/ },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Proceeding Article
%1 International Conference and Workshop on Communication, Computing and Virtualization
%A Vinita Gupta
%A Mukul Bhatt
%T Some Results Associated With K-Hypergeometric Functions
%J International Conference and Workshop on Communication, Computing and Virtualization
%@ 2249-0868
%V ICWCCV2015
%N 3
%P 0-0
%D 2015
%I International Journal of Applied Information Systems
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.

References
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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.
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  15. E. D. Rainville(1965), Special Functions, The Macmillan Company, New York.
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Index Terms

Computer Science
Information Sciences

Keywords

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