On the incomplete hypergeometric matrix functions

By means of the familiar incomplete gamma matrix functions γ ( A , x ) and Γ ( A , x ) , we introduce the incomplete Pochhammer matrix symbols that lead us to a generalization and decomposition of the incomplete hypergeometric matrix functions (IHMFs). Some properties such as a matrix differential e...

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Bibliographic Details
Published in:	The Ramanujan journal Vol. 43; no. 3; pp. 663 - 678
Main Author:	Abdalla, M.
Format:	Journal Article
Language:	English
Published:	New York Springer US 01-08-2017 Springer Nature B.V
Subjects:	Combinatorics Differential equations Field Theory and Polynomials Formulas (mathematics) Fourier Analysis Functions of a Complex Variable Mathematics Mathematics and Statistics Number Theory Symbols Incomplete Pochhammer matrix symbols 33C45 34A05 Incomplete gamma matrix function Gamma matrix function Incomplete hypergeometric matrix functions 33C05
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Summary:	By means of the familiar incomplete gamma matrix functions γ ( A , x ) and Γ ( A , x ) , we introduce the incomplete Pochhammer matrix symbols that lead us to a generalization and decomposition of the incomplete hypergeometric matrix functions (IHMFs). Some properties such as a matrix differential equation, integral expressions and recurrence relations of IHMFs are given. Besides, connections between these matrix functions and other special matrix functions are investigated.
ISSN:	1382-4090 1572-9303
DOI:	10.1007/s11139-016-9795-z