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

Author

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  • Askari, Hassan
  • Ansari, Alireza

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.

Suggested Citation

  • Askari, Hassan & Ansari, Alireza, 2025. "Stokes phenomenon for the M-Wright function of order 1n," Applied Mathematics and Computation, Elsevier, vol. 487(C).
    • Handle: RePEc:eee:apmaco:v:487:y:2025:i:c:s0096300324005496
    DOI: 10.1016/j.amc.2024.129088
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