article · Linear and Multilinear Algebra · 2023

The incomplete matrix beta function and its application to first Appell hypergeometric matrix function

Xuan Ma, Ahmed Bakhet, Fuli He, Mohamed Abdalla

Cited by 1Abstract and details only

Abstract

In this paper, we first introduce the incomplete beta matrix function Bz(M,K),z∈C, for parameter matrices M and K in Cm×m using the neutrix limit and evaluation methods on their the partial derivatives. Also, we define a new extension of the Pochhammer matrix symbol in terms of the incomplete beta matrix functions. Furthermore, we then apply this extended matrix symbol for the incomplete first Appell hypergeometric matrix functions and obtain some of their properties.

Cite this paper

APA 7

Ma, X., Bakhet, A., He, F., & Abdalla, M. (2023). The incomplete matrix beta function and its application to first Appell hypergeometric matrix function. Linear and Multilinear Algebra, 72(12), 2003–2021. https://doi.org/10.1080/03081087.2023.2224495

MLA 9

Ma, Xuan, et al. “The incomplete matrix beta function and its application to first Appell hypergeometric matrix function.” Linear and Multilinear Algebra, vol. 72, no. 12, 2023, pp. 2003–21, https://doi.org/10.1080/03081087.2023.2224495.

Chicago

Ma, Xuan, Ahmed Bakhet, Fuli He, and Mohamed Abdalla. 2023. “The incomplete matrix beta function and its application to first Appell hypergeometric matrix function.” Linear and Multilinear Algebra 72 (12): 2003–21. https://doi.org/10.1080/03081087.2023.2224495.

Harvard

Ma, X. et al. (2023) ‘The incomplete matrix beta function and its application to first Appell hypergeometric matrix function’, Linear and Multilinear Algebra, 72(12), pp. 2003–2021. Available at: https://doi.org/10.1080/03081087.2023.2224495.

BibTeX

@article{ma2023incomplete,
  title = {{The incomplete matrix beta function and its application to first Appell hypergeometric matrix function}},
  author = {Ma, Xuan and Bakhet, Ahmed and He, Fuli and Abdalla, Mohamed},
  journal = {Linear and Multilinear Algebra},
  volume = {72},
  number = {12},
  pages = {2003--2021},
  year = {2023},
  doi = {10.1080/03081087.2023.2224495}
}

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