EXTENSION OF BETA MATRIX FUNCTION

Purchase PDF

Published: 2015-11-19

Page: 253-264


M. ABDALLA *

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

A. BAKHET

Department of Mathematics, Faculty of Science, Al-Azhar University, Assiut 71524, Egypt.

*Author to whom correspondence should be addressed.


Abstract

In the present paper, we give the spectral condition (1:7) on the matrices P;Q and X so that the extension of the Beta matrix function B(P;Q;X) satisfies B(P;Q;X) = Γ(P;X)Γ(Q;X)Γ−1(P +Q;X): Furthermore, some properties of the extension of this function are explained. It is proved that the extension is connected to the Macdonald, error and Whittaker matrix functions and Laguerre matrix polynomials. Applications of this function in (for example) statistics and probability theory are shown.

Keywords: Beta matrix function, macdonald and whittaker matrix functions, laguerre matrix polynomials


How to Cite

ABDALLA, M., & BAKHET, A. (2015). EXTENSION OF BETA MATRIX FUNCTION. Asian Journal of Mathematics and Computer Research, 9(3), 253–264. Retrieved from https://ikprress.org/index.php/AJOMCOR/article/view/192

Downloads

Download data is not yet available.