论文标题
关于自动函数的代数依赖性
On the algebraic dependence of holonomic functions
论文作者
论文摘要
我们研究满足线性微分方程的函数之间可能的代数关系的形式。特别是，如果F和G满足线性微分方程并且在代数依赖性方程式中，我们会为与F相关的差分Galois组提供条件，以确保G在f中是多项式。我们将其应用于超几何函数和迭代积分。
We study the form of possible algebraic relations between functions satisfying linear differential equations. In particular , if f and g satisfy linear differential equations and are algebraically dependent, we give conditions on the differential Galois group associated to f guaranteeing that g is a polynomial in f. We apply this to hypergeometric functions and iterated integrals.
