论文标题
改变可变公式的“超芯片化”
Towards a change of variable formula for "hypergeometrization"
论文作者
论文摘要
我们将研究“超芯片化”的属性,这是一种通过将两个pochhammer符号插入其泰勒系列的运算符,该操作员对原点附近的分析功能作用。从本质上讲,该操作员将基本功能映射到超几何中。主要目标是为该操作员生成数量的“变化变量”公式,而该公式又可用于为多元超测量功能提供大量变换。
We are going to study properties of "hypergeometrization" -- an operator which act on analytic functions near the origin by inserting two Pochhammer symbols into their Taylor series. In essence, this operator maps elementary function into hypergeometric. The main goal is to produce number of "change of variable" formulas for this operator which, in turn, can be used to derive great number of transform for multivariate hypergeometric functions.