用勒让德级数处理Abel变换

DEALING WITH ABEL INVERSION BY USING LENGENDRE EXPANSIONS

提出了一种处理弱非中心对称Abel变换的新方法 .把测量的积分值用Yasutomo的方法分成奇、偶两部分 .非对称的原函数被表达为一个权函数和一个中心对称函数之积 .对称函数用勒让德级数展开 .

A new method is presented for dealing with weakly asymmetrical Abel inversion in this paper. We separate the integrated quantity into odd and even parts by using Yasutomo's method. The asymmetric local value is expressed as the product of a weight function and a symmetric local value. The symmetric distribution is expanded into Fourier-Lengendre series, and the coefficients of the series are determined by using a least-square-fitting method.