FRACTIONAL-INTEGRATION OF THE H-FUNCTION OF SEVERAL VARIABLES

被引：11
|
作者：
SRIVASTAVA, HM [1 ]
HUSSAIN, MA [1 ]
机构：
[1] VEER KUNWAR SINGH UNIV,HD JAIN COLL,POSTGRAD DEPT MATH,ARRAH 802301,INDIA
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 1995年 / 30卷 / 09期
基金：
加拿大自然科学与工程研究理事会;
关键词：
FRACTIONAL INTEGRATION; H-FUNCTIONS OF ONE AND MORE VARIABLES; GAMMA AND BETA FUNCTIONS; EULERIAN INTEGRALS; MELLIN-BARNES CONTOUR INTEGRALS; BINOMIAL EXPANSION; APPELL FUNCTIONS; (SRIVASTAVA-DAOUST) GENERALIZED LAURICELLA FUNCTION; FRACTIONAL CALCULUS;
D O I：
10.1016/0898-1221(95)00148-R
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The main object of the present paper is to derive a number of key formulas for the fractional integration of the multivariable H-function (which is defined by a multiple contour integral of Mellin-Barnes type). Each of the general Eulerian integral formulas (obtained in this paper) are shown to yield interesting new results for various families of generalized hypergeometric functions of several variables. Some of these applications of the key formulas would provide potentially useful generalizations of known results in the theory of fractional calculus.
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页码：73 / 85
页数：13
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