Error Analysis of the Recurrence Technique for Calculation of Bessel Functions I_ν(x)

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概要

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• The modified Bessel function of the first kind, I_v(x), can be expanded in terms of I_(μ+2k)(x)(k=0, . . .) as [numerical formula] where [numerical formula]. This expansion is valid when p is not a negative integer. We can obtain an approximation to I_ν(x) for an arbitrary v by substituting approximations to I_(μ+2k)(x)(μ≧0) C0mputed by the recurrence technique into the truncated form of the above expansion. This paper describes the error analysis of this approximation and a useful estimate of the error.

• 一般社団法人情報処理学会の論文
• 1992-10-31

著者

• Yoshida Toshio

  College Of Business Administration And Information Science Chubu University

関連論文

• Error Analysis of the Recurrence Technique for Calculation of Bessel Functions I_ν(x)

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