关于Γ(z)函数的Hlder定理的推广

On Further Extension of H o ¨lder's Theorem Concerning the Gamma Function

在推广有关的Γ（ｚ）函数的Ｈｏ¨ｌｄｅｒ定理的基础上，证明了Γ（ｚ）函数与其它函数的复合及组合不满足一类代数微分方程．这些结论改善了已知有关结果．

This paper gives a further extension of H o ¨lder's theorem concerning the Gamma function Γ(z) and points out that the recult can′t be improved anymore.It also proves that Γ(z) with the composition and combination of other functions can not satisfy a class of algebraic differential equations.These resutls improve the concerned known ones.