On the incomplete fourth Appell hypergeometric matrix functions $\gamma_{4}$ and $\Gamma_{4}$

• Verma, Ashish ^[1] ; Singh Yadav, Komal ; Patel, Raj Karan
  1. [1] Veer Bahadur Singh Purvanchal University

     Veer Bahadur Singh Purvanchal University

     India

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 43, Nº. 3, 2024 (Ejemplar dedicado a: In Progress), págs. 539-553
• Idioma: inglés
• DOI: 10.22199/issn.0717-6279-5891
• Enlaces
  • Texto completo
• Resumen

  • In this paper, we define the incomplete fourth Appell hypergeometric matrix functions $\gamma_{4}$ and $\Gamma_{4}$ through application of the incomplete Pochhammer matrix symbols. We also give certain properties such as matrix differential equation, integral formula, recursion formula, differentiation formula of the incomplete fourth Appell hypergeometric matrix functions $\gamma_{4}$ and $\Gamma_{4}$, where not all the matrices involved are commuting matrices.

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