首页 | 本学科首页   官方微博 | 高级检索  
     


Parabolic cylinder functions of large order
Authors:D.S. Jones
Affiliation:

Department of Mathematics, University of Dundee, Scotland, UK

Abstract:The asymptotic behaviour of parabolic cylinder functions of large real order is considered. Various expansions in terms of elementary functions are derived. They hold uniformly for the variable in appropriate parts of the complex plane. Some of the expansions are doubly asymptotic with respect to the order and the complex variable which is an advantage for computational purposes. Error bounds are determined for the truncated versions of the asymptotic series.
Keywords:Parabolic cylinder functions   Uniform asymptotic expansions   Computation of special functions
本文献已被 ScienceDirect 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号