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

Hassan Askari and Alireza Ansari

Applied Mathematics and Computation, 2025, vol. 487, issue C

Abstract: In this paper, using the higher-order differential equation of M-Wright function (Mainardi function) of order 1n,n≥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.

Keywords: Stokes phenomenon; M-Wright function; Laplace transform (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:487:y:2025:i:c:s0096300324005496

DOI: 10.1016/j.amc.2024.129088

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