Salvatore Pincherle：Mellin-Barnes积分的先驱
Salvatore Pincherle: the pioneer of the Mellin-Barnes integrals
摘要：
1888年的文件萨尔瓦多Pincherle（数学教授在博洛尼亚大学）对广义超几何函数是重新审视。指出了这位意大利数学家对基于有理系数线性微分方程与线性差分方程对偶原理的Mellin-Barnes积分的开创性贡献。通过扩展Pincherle的原始参数，我们还展示了如何正式推导线性微分方程和Meijer G-函数的Mellin-Barnes整表示。
英文摘要：
The 1888 paper by Salvatore Pincherle (Professor of Mathematics at the University of Bologna) on generalized hypergeometric functions is revisited. We point out the pioneering contribution of the Italian mathematician towards the Mellin-Barnes integrals based on the duality principle between linear differential equations and linear difference equation with rational coefficients. By extending the original arguments used by Pincherle, we also show how to formally derive the linear differential equation and the Mellin-Barnes integral representation of the Meijer G-functions.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
