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On the Extended Hypergeometric Matrix Functions and Their Applications for the Derivatives of the Extended Jacobi Matrix Polynomial

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  • Fuli He
  • Ahmed Bakhet
  • M. Abdalla
  • M. Hidan

Abstract

In this paper, we obtain some generating matrix functions and integral representations for the extended Gauss hypergeometric matrix function EGHMF and their special cases are also given. Furthermore, a specific application for the extended Gauss hypergeometric matrix function which includes Jacobi matrix polynomials is constructed.

Suggested Citation

  • Fuli He & Ahmed Bakhet & M. Abdalla & M. Hidan, 2020. "On the Extended Hypergeometric Matrix Functions and Their Applications for the Derivatives of the Extended Jacobi Matrix Polynomial," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-8, March.
    • Handle: RePEc:hin:jnlmpe:4268361
    DOI: 10.1155/2020/4268361
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