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Some Results Associated With K-Hypergeometric Functions

Published on September 2015 by Vinita Gupta, Mukul Bhatt
journal_cover_thumbnail

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
  1. K. A. Driver and S. J. Johnston (2006), An integral representation of some hypergeometric functions, Electronic Transactions on Numerical Analysis, 25, 115-120.
  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.
  4. R. Diaz, C. Ortiz, and E. Pariguan (2010), On the kgamma qdistribution, Central European Journal of Mathematics, 8, 448-458.
  5. M. Mansour (2009), Determining the k-generalized gamma function by functional equations,Int. J. Contemp. Math. Sciences, 4, 1037-1042.
  6. C. G. Kokologiannaki (2010), Properties and inequalities of generalized k-gamma, beta and zeta functions, Int. J. Contemp. Math. Sciences, 5, 653-660.
  7. V. Krasniqi (2010), A limit for the k-gamma and k-beta function, Int. Math. Forum, 5, 1613-1617.
  8. V. Krasniqi (2010), Inequalities and monotonicity for the ration of k-gamma function, Scientia Magna, 6, 40-45.
  9. F. Merovci(2010), Power product inequalities for the
  10. k-gamma function, Int. J. Math. Analysis, 4, 1007-1012.
  11. S. Mubeen, and G. M. Habibullah (2012), An integral representation of some k-hypergeometric functions,
  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.
  14. S. Mubeen (2013), Solution of Some Integral Equations Involving Confluent k-Hypergeometric Functions, Applied Mathematics, 4, 9-11.
  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.
Index Terms

Computer Science
Information Sciences

Keywords

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