Extension of the Beta function in several variables and applications for multivariate orthogonal polynomials

Abstract The fundamental aim of this article is to investigate an extension of the generalized Beta function introduced in (Chaudhry et al. in J. Comput. Appl. Math. 78(1):19–32, 1997) from two variables to three or more variables. The properties of such extended functions are studied in a systemati...

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Bibliographic Details

Published in:	Journal of Inequalities and Applications
Main Authors:	Nawal Helal Al-harbi, Mustapha Raïssouli
Format:	Article
Language:	English
Published:	SpringerOpen 2025-10-01
Subjects:	Beta function Beta function in n-variables Extended Beta function in n-variables Laguerre polynomials in n-variables
Online Access:	https://doi.org/10.1186/s13660-025-03292-9