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.

翻译：Wright函数出现在分数阶微分方程理论中，它是一个具有广泛数学背景的通用数学对象，与其他特殊函数和初等函数存在多种联系。该函数为高斯函数、艾里函数、贝塞尔函数、误差函数等多类特殊函数提供了统一处理框架。本文提出一种基于求积法逼近Wright函数的新型数值技术。该算法利用平稳相位法结合双指数求积积分技术，以独立函数库形式实现。文中展示了不同参数取值下的函数图像。