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On some properties of Gauss Multiplication Theorem for k-gamma function
Omprakash Atale1
Section:Research Paper, Product Type: Journal-Paper
Vol.9 ,
Issue.1 , pp.43-45, Feb-2022
Online published on Feb 28, 2022
Copyright © Omprakash Atale . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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IEEE Style Citation: Omprakash Atale, “On some properties of Gauss Multiplication Theorem for k-gamma function,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.9, Issue.1, pp.43-45, 2022.
MLA Style Citation: Omprakash Atale "On some properties of Gauss Multiplication Theorem for k-gamma function." International Journal of Scientific Research in Mathematical and Statistical Sciences 9.1 (2022): 43-45.
APA Style Citation: Omprakash Atale, (2022). On some properties of Gauss Multiplication Theorem for k-gamma function. International Journal of Scientific Research in Mathematical and Statistical Sciences, 9(1), 43-45.
BibTex Style Citation:
@article{Atale_2022,
author = {Omprakash Atale},
title = {On some properties of Gauss Multiplication Theorem for k-gamma function},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {2 2022},
volume = {9},
Issue = {1},
month = {2},
year = {2022},
issn = {2347-2693},
pages = {43-45},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=2721},
publisher = {IJCSE, Indore, INDIA},
}
RIS Style Citation:
TY - JOUR
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=2721
TI - On some properties of Gauss Multiplication Theorem for k-gamma function
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - Omprakash Atale
PY - 2022
DA - 2022/02/28
PB - IJCSE, Indore, INDIA
SP - 43-45
IS - 1
VL - 9
SN - 2347-2693
ER -
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Abstract :
In this paper, we have established some properties of the k-gamma function that arises from Gauss Multiplication Theorem. Furthermore, some related partial fractional decompositions are given which rescembles with the results of Ramanujan for ordinary gamma function.
Key-Words / Index Term :
Gamma function, k-gamma function, Gauss mutiplcation theorem
References :
Diaz, R. and Pariguan, E. On hypergeometric functions and Pochhammer k-symbol. Divulgaciones Mathematicas, Vol. 15, Issue 2, pp. 179-192, (2007).
C.G. Kokologiannaki, Properties and inequalities of generalized k-gamma, beta and zeta functions, International Journal of Contemp. Math Sciences Vol 5, Issue 14, pp. 653-660, (2010).
Mubeen Shahid, Rehman Abdur. A Note on k-Gamma Function and Pochhammer k-Symbol. Journal of Informatics and Mathematical Sciences, Vol 6, Issue 2, pp. 93-107, (2014).
H. Alzer, On some inequalities for the gamma and psi function, Math. Comp. Vol 66, pp. 373–389, (1997).
Kokologiannaki, Chrysi and Krasniqi, Valmir. Some properties of the k-Gamma function. Le Matematiche. Vol. 68, Issue 1, pp. 13-22, (2013)
R. Diaz - C. Teruel, q, k-Generalized Gamma and Beta functions, J. Non-linear Math. Phys. Vol 12, Issue 1, pp. 118-134, (2005).
V. Krasniqi, Inequalities and monotonicity for the ration of k-gamma function, Scientia Magna Vol. 6, Issue 1, pp. 40-45, (2010).
M. Mansour, Determining the k-Generalized Gamma function ?k(x) by functional equations, Int. J. Contemp. Math. Sciences Vol. 4, Issue. 21, pp. 653-660, (2009).
R. Diaz and C. Teruel, q k, -Generalized gamma and beta functions, J. Nonlinear Math. Phys., Vol. 12, pp. 118-134, (2005).
Berndt, B. C. Ramanujan’s Notebooks. Springer, New York, NY (1985). Chp. 8.
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