亚纯函数的分式线性变换的特征函数的一个注记

A Note on Eigenfunction of Fractional Linear Transfomation of Subpure Function

研究了亚纯函数量ｆ（Ｚ）的分式线性变换的特征函数与ｆ（Ｚ）的特征函数之差的有界性，是利用了Ｊｅｎｓｅｎ－Ｎｅｖａｎｌｉｎｎａ公式证明了这一结果。同时又利用这一结果证明了亚纯函数ｆ（Ｚ）与其分式线性变换有相等的级。

The beuncledness for the difference between the eigenfunction of the fractional linear transformation of subpure function f (z) and the eigenfunction of the f (z) is proven by the Jensen Nevanlinna formula. And by this is testified that the f (z) and its fractional linear transformation have the same order.