阶次为 1n 的 M-赖特函数的斯托克斯现象

IF 4.3 3区材料科学 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC

ACS Applied Electronic Materials Pub Date : 2024-10-09 DOI:10.1016/j.amc.2024.129088

Hassan Askari, Alireza Ansari

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引用次数: 0

摘要

本文利用阶数为 1n,n≥3 的 M-赖特函数（Mainardi 函数）的高阶微分方程，得到了该函数和其他线性独立函数在拉普拉斯等值线上的积分表示。我们还研究了复平面内不同域的斯托克斯现象和斯托克斯/反斯托克斯射线。我们的方法基于最陡下降法，用于分析和绘制 n 初始值的最陡下降曲线/方向。

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Stokes phenomenon for the M-Wright function of order 1n

In this paper, using the higher-order differential equation of M-Wright function (Mainardi function) of order

\frac{1}{n}, n \geq 3

, we get the integral representations for this function and other linear independent functions on the Laplace contours. The Stokes phenomenon and the Stokes/anti-Stokes rays for different domains in the complex plane are also investigated. Our approach is based on the steepest descent method for analyzing and drawing the steepest descent curves/directions for the initial values of n.

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来源期刊

ACS Applied Electronic Materials Multiple-

CiteScore

7.20

自引率

4.30%

发文量

567