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<p>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, <CitationRef CitationID="CR9">1997</CitationRef>) 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 <i>n</i>-variables is presented as well.</p>

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

  • 期刊论文

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  • 发表日期：

    2025年10月16日

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  • Nawal Helal Al-harbi,
  • Mustapha Raïssouli

摘要

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.