Fox-Wright函数是超几何级数的非平凡推广。虽然它在代数方程、信息论、理论物理等许多领域都有着应用，但是相关的研究成果比较少。本项目旨在围绕Fox-Wright函数展开研究。首先，我们利用矩阵反演与差分算子理论探索Fox-Wright函数求和公式；然后，在Fox-Wright函数求和公式的基础上，我们使用级数重组方法与积分方法探索Fox-Wright函数变换公式。相关的研究成果既能够促进超几何级数的发展，又在许多领域有着潜在的应用。

Fox-Wright function is the nontrivial generalization of hypergeometric series. Although it can be applied to many fields, such as algebraic equation, information theory, theoretical physics and so on, the related research achievements are few. The aim of the project is to carry out research around the Fox-Wright function. Firstly, we explore summation formulas for Fox-Wright function by means of the matrix inversion and difference operator theory; Secondly, we explore transformation formulas for Fox-Wright function according to the series rearrangement method and integral method on the basis of summation formulas for Fox-Wright function. The related research achievements can promote the development of hypergeometric series and have potential applications in many fields.