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<p>Exploiting the contour integral representation of the remainder term in Gaussian quadrature, in this work we derive explicit error approximations for the computation of the confluent and the Gauss hypergeometric functions by means of the Gauss-Jacobi rule. Some numerical examples illustrate the quality of the estimates.</p>

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Error analysis of Gauss quadrature approximation to hypergeometric functions

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年10月27日

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  • Eleonora Denich,
  • Paolo Novati

摘要

Exploiting the contour integral representation of the remainder term in Gaussian quadrature, in this work we derive explicit error approximations for the computation of the confluent and the Gauss hypergeometric functions by means of the Gauss-Jacobi rule. Some numerical examples illustrate the quality of the estimates.