2 CLASSES OF SPECIAL FUNCTIONS FOR THE PHASE-INTEGRAL APPROXIMATION

被引：6

作者：

CAMPBELL, JA

机构：

[1] Department of Mathematics, University of Newcastle

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1979年 / 12卷 / 08期

关键词：

D O I：

10.1088/0305-4470/12/8/008

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Two classes of functions obtainable from the special function Y 2n for the phase-integral approximation are computed symbolically. The first class is that of functions Z2n and U2n, where Y2n=Z2n+DU2n, and D is a differential operator. It has the advantage of simplifying the evaluation of integrals involving Y2n. The second class, of functions A2nand B 2n-2 which are derived from Z2n, is associated with an important integral identity in the phase-integral approximation.

引用

页码：1149 / 1154

页数：6