Asymptotic approximations of Good's special functions arising in atomic physics

TL;DR

This paper investigates asymptotic approximations of Good's special functions, which are relevant in atomic physics, using the stationary phase method to extend understanding beyond Anger's functions.

Contribution

It introduces new asymptotic approximation techniques for Good's functions, expanding their analysis beyond existing Anger-related functions.

Findings

Derived asymptotic formulas for Good's functions

Extended the analysis beyond Anger's functions

Applied stationary phase method successfully

Abstract

We study various asymptotic approximations of Good's special functions arising in atomic physics. These special functions are situated beyond Anger's functions to which they are closely related. Our major tool is the method of the stationary phase.