MOMENT INTEGRALS OF POWERS OF AIRY FUNCTIONS

被引：12
作者：
LAURENZI, BJ
机构：
[1] Dept of Chemistry, State University of New York at Albany, Albany, 12222, New York
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 1993年 / 44卷 / 05期
关键词：
D O I：
10.1007/BF00942815
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Difference equations for moment integrals which contain powers of the Airy function Ai(z) and its derivative Ai'(z) i.e. integral-infinity/0 z(n)[Ai(z)]alpha dz, integral-infinity/0 z(n)[Ai'(z)]alpha dz, are obtained. These equations are easily solved for the special case of integer alpha. The moments occur in recent analytical attempts at solving certain nonlinear problems in Physics and Chemistry.
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页码：891 / 908
页数：18
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