Computation of the Wright function from its integral representation
Numerical Analysis
2023-06-21 v1 Numerical Analysis
Abstract
The Wright function arises in the theory of the fractional differential equations. It is a very general mathematical object having diverse connections with other special and elementary functions. The Wright function provides a unified treatment of several classes of special functions, such as the Gaussian, Airy, Bessel, error functions, etc. The manuscript presents a novel numerical technique for approximation of the Wright function using quadratures. The algorithm is implemented as a standalone library using the double-exponential quadrature integration technique using the method of stationary phase. Function plots for a variety of parameter values are demonstrated.
Cite
@article{arxiv.2306.11381,
title = {Computation of the Wright function from its integral representation},
author = {Dimiter Prodanov},
journal= {arXiv preprint arXiv:2306.11381},
year = {2023}
}
Comments
10 pages; 4 figures