Scholarlink

The computation of the Kummer function M(a, b, x) is considered in this paper.An efficient and accurate algorithm combining asymptotic expansions for large values of the parameters and power series is presented. Numerical tests show that a Matlab implementation of the algorithm allows the computation of the function with \(\sim 10^{-14}\) relative accuracy in the parameter region \((a,\,b,\,x) \in (0,\,500) \times (0,\,500) \times (0,\,1000)\) in double precision floating point arithmetic.

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Computation of the Confluent Hypergeometric Function M(a, b, x)

  • 会议论文

  • 发表日期：

    2025年

查看全文
  • Amparo Gil,
  • Diego Ruiz-Antolín,
  • Javier Segura,
  • Nico M. Temme

摘要

The computation of the Kummer function M(a, b, x) is considered in this paper.An efficient and accurate algorithm combining asymptotic expansions for large values of the parameters and power series is presented. Numerical tests show that a Matlab implementation of the algorithm allows the computation of the function with \(\sim 10^{-14}\) relative accuracy in the parameter region \((a,\,b,\,x) \in (0,\,500) \times (0,\,500) \times (0,\,1000)\) in double precision floating point arithmetic.