Exponential asymptotics of the Mittag-Leffler function

被引：52
|
作者：
Wong, R
Zhao, YQ
机构：
[1] City Univ Hong Kong, Dept Math, Kowloon, Hong Kong, Peoples R China
[2] Zhongshan Univ, Dept Math, Guangzhou 510275, Peoples R China
来源：
CONSTRUCTIVE APPROXIMATION | 2002年 / 18卷 / 03期
关键词：
Mittag-Leffler function; Stokes lines/curves; exponential asymptotics; Berry-type smooth transition;
D O I：
10.1007/s00365-001-0019-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The Stokes lines/curves are identified for the Mittag-Leffler function [GRAPHICS] When alpha is not real, it is found that the Stokes curves are spirals. Away from the Stokes lines/curves, exponentially improved uniform asymptotic expansions are obtained. Near the Stokes lines/curves, Berry-type smooth transitions are achieved via the use of the complementary error function.
引用
收藏
页码：355 / 385
页数：31
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