Properties of k-beta function with several variables

被引：6
作者：
Rehman, Abdur [1 ]
Mubeen, Shahid [1 ]
Safdar, Rabia [2 ]
Sadiq, Naeem [2 ]
机构：
[1] Univ Sargodha, Dept Math, Sargodha, Pakistan
[2] GC Univ, Dept Math, Faisalabad, Pakistan
来源：
OPEN MATHEMATICS | 2015年 / 13卷
关键词：
k-Gamma function; k-Beta function; Several variables;
D O I：
10.1515/math-2015-0030
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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 Gamma(k)(2z) proved by Kokologiannaki [5] via properties of k-beta function.
引用
收藏
页码：308 / 320
页数：13
相关论文
共 13 条
  • [1] Anderson G. D., 1997, CONFORMAL INVARIENTS
  • [2] [Anonymous], 1974, REAL COMPLEX ANAL
  • [3] [Anonymous], 1999, SPECIAL FUNCTIONS EN
  • [4] Carlson B., 1977, Special Functions of Applied Mathematics, V1st ed.
  • [5] Diaz R., 2007, Divulg. Mat, V15, P179
  • [6] Kokologiannaki C. G., 2010, Int. J. Contemp. Math. Sci., V5, P653
  • [7] SOME PROPERTIES OF THE k-GAMMA FUNCTION
    Kokologiannaki, Chrysi G.
    Krasniqi, Valmir
    [J]. MATEMATICHE, 2013, 68 (01): : 13 - 22
  • [8] Krasniqi V., 2010, Int.Math.Forum, V5, P1613
  • [9] Mansour M., 2009, Int. J. Contemp. Math. Sciences, V4, P1037
  • [10] Mubeen S., 2012, International Mathematical Forum, V7, P203
12