Author(s)

Mohamed Abul-Dahab, Ayman Shehata

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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.

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

M. 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.