Computation of the Wright function from its integral representation

Autor:	Prodanov, Dimiter
Rok vydání:	2023
Předmět:	Mathematics - Numerical Analysis 65D20 33C10
Druh dokumentu:	Working Paper
Popis:	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. Comment: 10 pages; 4 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2306.11381 Zobrazit plný text záznamu View this record from Arxiv