Euler Type Integrals Associated With Certain Class of gamma-Variable Polynomials

被引:0
作者
Khan, Subuhi [1 ]
Pathan, M. A. [1 ]
Al-Gonah, Ahmed Ali [1 ]
机构
[1] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India
关键词
Euler type integrals; Generating functions; gamma-variable Lagrange polynomials; Generalized Lauricella functions;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we establish some theorems on Euler type integrals and apply these on the generating function of the gamma-variable Lagrange polynomials to obtain explicit evaluations of some integrals in terms of the generalized Lauricella functions. Further, we derive a number of new results as applications of these evaluations.
引用
收藏
页码:243 / 258
页数:16
相关论文
共 15 条
[1]   The Lagrange polynomials in several variables [J].
Chan, WCC ;
Chyan, CJ ;
Srivastava, HM .
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2001, 12 (02) :139-148
[2]  
Chaudhry MA, 1997, J COMPUT APPL MATH, V78, P19, DOI 10.1016/S0377-0427(96)00102-1
[3]   A generalization of Gottlieb polynomials in several variables [J].
Choi, Junesang .
APPLIED MATHEMATICS LETTERS, 2012, 25 (01) :43-46
[4]  
EXTON H, 1972, B SOC MATH GRECE, V13, P104
[5]   Concerning some polynomials orthogonal on a finite or enumerable set of points [J].
Gottlieb, MJ .
AMERICAN JOURNAL OF MATHEMATICS, 1938, 60 :453-458
[6]   Algebraic evaluations of some Euler integrals, duplication formulae for Appell's hypergeometric function F1, and Brownian variations [J].
Ismail, MEH ;
Pitman, J .
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2000, 52 (05) :961-981
[7]  
Khan S., 2006, SE ASIAN B MATH, V30, P61
[8]  
Khan S., 2004, SE ASIAN B MATH, V28, P837
[9]   Evaluations of certain Euler type integrals [J].
Khan, Subuhi ;
Agrawal, Babita ;
Pathan, M. A. ;
Mohammad, Fahim .
APPLIED MATHEMATICS AND COMPUTATION, 2007, 189 (02) :1993-2003
[10]   Bilateral generating functions for the Lagrange polynomials and the Lauricella functions [J].
Liu, Shuoh-Jung .
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2009, 20 (07) :519-527