TITLE:
A New Extension of Humbert Matrix Function and Their Properties
AUTHORS:
Mohamed Abul-Dahab, Ayman Shehata
KEYWORDS:
Hypergeometric Matrix function, Humbert Matrix Function, Kummer Matrix Function, Integral Representations
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.1 No.6,
November
24,
2011
ABSTRACT: 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.