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On the incomplete hypergeometric matrix functions

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Abstract

By means of the familiar incomplete gamma matrix functions \(\gamma (A,x)\) and \(\Gamma (A,x)\), 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.

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Acknowledgments

The author would like to thank the referees for their valuable comments and suggestions which have led to the better presentation of the paper.

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  1. Department of Mathematics, Faculty of Science, South Valley University, Qena, 83523, Egypt

    M. Abdalla

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  1. M. Abdalla
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Correspondence to M. Abdalla.

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Abdalla, M. On the incomplete hypergeometric matrix functions. Ramanujan J 43, 663–678 (2017). https://doi.org/10.1007/s11139-016-9795-z

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  • DOI: https://doi.org/10.1007/s11139-016-9795-z

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