A new polynomial approximation for Jν Bessel functions
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摘要
New approximate solutions to the ν-order Bessel function of the first kind are derived. The solution is expressed as a polynomial for Bessel function of all fractional order polynomial. Comparisons are made between the exact solution and the new approximation. One utility of this derivation is to allow researchers to analytically evaluate integrals containing Bessel functions.
论文关键词：Polynomial approximation,ν-order Bessel functions,Modified Bessel functions,Weber functions,Neumann functions,Hankel functions
论文评审过程：Available online 9 August 2006.
论文官网地址：https://doi.org/10.1016/j.amc.2006.06.047
