Asymptotic analysis of the Wright function with a large parameter

被引：7
作者：
Ansari, Alireza [1 ]
Askari, Hassan [1 ]
机构：
[1] Shahrekord Univ, Fac Math Sci, Dept Appl Math, POB 115, Shahrekord, Iran
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2022年 / 507卷 / 01期
关键词：
Wright function; Asymptotic analysis; Steepest descent method; Lagrange expansion; STOKESS DISCONTINUITY; GEOMETRIC-PROPERTIES; TRANSFORMS; ZEROS;
D O I：
10.1016/j.jmaa.2021.125731
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, using the exponential conformal map for the Hankel contour we show a new Schlafli-type integral representation for the Wright function. We apply the steepest descent method and the Lagrange expansion to find the asymptotic expansions of Wright function for the large parameter. We study two cases for the stationary points and discuss the associated asymptotic expansions. The results extend the asymptotic expansions of the Bessel functions of the first and second kinds. (c) 2021 Elsevier Inc. All rights reserved.
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页数：18
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