整数次第一種ベッセル関数の近似多項式

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書誌事項

タイトル別名
  • Approximation Polynomials of the First Kind Bessel Functions of Integer Order

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説明

A method to obtain approximation polynomials of the first kind Bessel functions of integer order and a table of resulting approximation polynomials are given. For each integer ν, 0≦ν≦8,the interval from x=0 to x=15～20 is divided into three parts and an approximation polynomial with maximum error of 10^<-7>～10^<-8> and an approximation polynomial with maximum error of 10^<-12>～10^<-14> are given on each subinterval. The obtained approximation polynomials have the following properties. 1) At the both ends of each subinterval, errors are nearly equal to zero. 2) At the boundary common to two subintervals, approximation polynomials are smoothly continuous. 3) Maximum errors in three subintervals are nearly equal. These approximation polynomials enable more precise applications of Bessel functions.

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