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...

詳細記述

書誌詳細
出版年:Journal of Inequalities and Applications
主要な著者: Nawal Helal Al-harbi, Mustapha Raïssouli
フォーマット: 論文
言語:英語
出版事項: SpringerOpen 2025-10-01
主題:
オンライン・アクセス:https://doi.org/10.1186/s13660-025-03292-9
その他の書誌記述
要約: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 systematic manner and some inequalities are also discussed. An application for the so-called Laguerre polynomials in n-variables is presented as well.
ISSN:1029-242X