Properties of k-beta function with several variables
Abdur Rehman; Shahid Mubeen; Rabia Safdar; Naeem Sadiq
Open Mathematics (2015)
- Volume: 13, Issue: 1
- ISSN: 2391-5455
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topAbdur Rehman, et al. "Properties of k-beta function with several variables." Open Mathematics 13.1 (2015): null. <http://eudml.org/doc/270884>.
@article{AbdurRehman2015,
abstract = {In this paper, we discuss some properties of beta function of several variables which are the extension of beta function of two variables. We define k-beta function of several variables and derive some properties of this function which are the extension of k-beta function of two variables, recently defined by Diaz and Pariguan [4]. Also, we extend the formula Γk(2z) proved by Kokologiannaki [5] via properties of k-beta function.},
author = {Abdur Rehman, Shahid Mubeen, Rabia Safdar, Naeem Sadiq},
journal = {Open Mathematics},
keywords = {k-Gamma function; k-Beta function; Several variables},
language = {eng},
number = {1},
pages = {null},
title = {Properties of k-beta function with several variables},
url = {http://eudml.org/doc/270884},
volume = {13},
year = {2015},
}
TY - JOUR
AU - Abdur Rehman
AU - Shahid Mubeen
AU - Rabia Safdar
AU - Naeem Sadiq
TI - Properties of k-beta function with several variables
JO - Open Mathematics
PY - 2015
VL - 13
IS - 1
SP - null
AB - In this paper, we discuss some properties of beta function of several variables which are the extension of beta function of two variables. We define k-beta function of several variables and derive some properties of this function which are the extension of k-beta function of two variables, recently defined by Diaz and Pariguan [4]. Also, we extend the formula Γk(2z) proved by Kokologiannaki [5] via properties of k-beta function.
LA - eng
KW - k-Gamma function; k-Beta function; Several variables
UR - http://eudml.org/doc/270884
ER -
References
top- [1] Anderson G.D., Vamanmurthy M.K., Vuorinen M.K., Conformal Invarients, Inequalities and Quasiconformal Maps, Wiley, New York, 1997
- [2] Andrews G.E., Askey R., Roy R., Special Functions Encyclopedia of Mathemaics and its Application 71, Cambridge University Press, 1999
- [3] Carlson B.C., Special Functions of Applied Mathemaics, Academic Press, New York, 1977
- [4] Diaz R., Pariguan E., On hypergeometric functions and k-Pochhammer symbol, Divulgaciones Mathematics, 2007, 15(2), 179- 192 Zbl1163.33300
- [5] Kokologiannaki C.G., Properties and inequalities of generalized k-gamma, beta and zeta functions, International Journal of Contemp, Math. Sciences, 2010, 5(14), 653-660 Zbl1202.33003
- [6] Kokologiannaki C.G., Krasniqi V., Some properties of k-gamma function, LE MATHEMATICS, 2013, LXVIII, 13-22 Zbl1290.33001
- [7] Krasniqi V., A limit for the k-gamma and k-beta function, Int. Math. Forum, 2010, 5(33), 1613-1617 Zbl1206.33005
- [8] Mansoor M., Determining the k-generalized gamma function Γk(x), by functional equations, International Journal Contemp. Math. Sciences, 2009, 4(21), 1037-1042 Zbl1186.33002
- [9] Mubeen S., Habibullah G.M., An integral representation of some k-hypergeometric functions, Int. Math. Forum, 2012, 7(4), 203- 207 Zbl1251.33004
- [10] Mubeen S., Habibullah G.M., k-Fractional integrals and applications, International Journal of Mathematics and Science, 2012, 7(2), 89-94 Zbl1248.33005
- [11] Mubeen S., Rehman A., Shaheen F., Properties of k-gamma, k-beta and k-psi functions, Bothalia Journal, 2014, 4, 371-379
- [12] Rainville E.D., Special Functions, The Macmillan Company, New Yark(USA), 1960
- [13] Rudin W., Real and Complex Analysis, 2nd edition McGraw-Hill, New York, 1974
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