Mohamed Abul-Dahab, Ayman Shehata

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.

Keywords: Hypergeometric Matrix function, Humbert Matrix Function, Kummer Matrix Function, Integral Representations

Cite this paper: nullM. Abul-Dahab and A. Shehata, "A New Extension of Humbert Matrix Function and Their Properties," Advances in Pure Mathematics, Vol. 1 No. 6, 2011, pp. 315-321. doi: 10.4236/apm.2011.16057.

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