齐次与非齐次复线性复合函数方程亚纯解的增长性

运用亚纯函数的Nevanlinna值分布理论,研究了一类齐次与非齐次复线性复合函数方程亚纯函数解的增长性,并推广至更一般的含微分的复线性复合函数方程的情形.当这些方程允许有多项系数具有最大级或最大下级时,在一定条件下得到了这些方程非零亚纯解的级或下级的下界的估计.

The Growth of Meromorphic Solutions of Homogeneous and Non-Homogeneous Complex Linear Equations for Composite Functions

The growth of meromorphic solutions of a kind of homogenous and non-homogeneous complex linear equations for composite functions with meromorphic coefficients is investigated by the Nevanlinna's value distribution of meromorphic function,which is generalized into the more general case of complex linear differential equations for composite functions.When more than one coefficient of involved equations have the maximal order or the maximal lower order,some estimates on the lower bound of the order or the lower order of non-zero meromorphic solutions of involved equations are obtained under some conditions.