分子积分中辅助函数的任意精度计算(Ⅱ)——用向前递推方案计算第一类变型球Bessel函数

COMPUTATION OF AUXILIARY FUNCTIONS IN MOLECULAR INTEGRAL UP TO ARBITRARY ACCURACY(Ⅱ)——EVALUATION OF THE FIRST KIND MODIFIED SPHERICAL FUNCTION BY FORWARD RECUTRRRENCE SCHEME

摘要: 关于辅助函数I_μ(x)的任意精度计算要求实现对该函数的向前递推方案的充分运用。采用我们建立的I_μ(x)函数的不等式,本文找到了满足这一要求的判据。

Abstract: With regard to evaluation of auxiliary function I_μ(x)up to arbitrary accuracy, it is required that the forward recurrence scheme of the function can be used as far as possible. Applying a new inequality found by us, we have set up a criterion which can accurately decide whether the requirement can be met.