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<p>In this work, we provide an elementary proof of an integral product formula for Jack polynomials of two variables, extending the well-known case of zonal polynomials. As an application, we derive an explicit integral representation for the Dunk- Bessel function of type <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(B_2\)</EquationSource> </InlineEquation>.</p>

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About integral product formula for Jack polynomials of two variables

  • 期刊论文

  • 发表日期：

    2025年9月30日

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  • Béchir Amri

摘要

In this work, we provide an elementary proof of an integral product formula for Jack polynomials of two variables, extending the well-known case of zonal polynomials. As an application, we derive an explicit integral representation for the Dunk- Bessel function of type \(B_2\) .