A New Extension of Humbert Matrix Function and Their Properties  

作　　者：Mohamed Abul-Dahab Ayman Shehata 

机构地区：[1]不详

出　　处：《Advances in Pure Mathematics》2011年第6期315-321,共7页理论数学进展（英文）

摘　　要：This paper deals with the study of the composite Humbert matrix function with matrix arguments . The convergence and integral form this function is established. An operational relation between a Humbert matrix function and Kummer matrix function is studied. Also, integral expressions of this relation are deduced. Finally, we define and study of the composite Humbert Kummer matrix functions.This paper deals with the study of the composite Humbert matrix function with matrix arguments . The convergence and integral form this function is established. An operational relation between a Humbert matrix function and Kummer matrix function is studied. Also, integral expressions of this relation are deduced. Finally, we define and study of the composite Humbert Kummer matrix functions.

关 键 词：HYPERGEOMETRIC MATRIX FUNCTION HUMBERT MATRIX FUNCTION Kummer MATRIX FUNCTION INTEGRAL REPRESENTATIONS 

分 类 号：O1[理学—数学]