Fixed Points of Meromorphic Functions and of Their Differences, Divided Differences and Shifts
2016
让 f (z) 是有限顺序 meromorphic 功能并且让 c C { 0 } 是一个常数。如果 f (z)有 Borel 非凡的价值 C ,它被证明那 $$\max \left\{{ \tau \left ({ f\left ( z \right )} \right ), \tau \left ({{ \Delta _c } f\left ( z \right )} \right )}\right\}= \max \left\{{ \tau \left ({ f\left ( z \right )} \right ), \tau \left ({ f\left ({ z + c } \right )} \right )}\right\}= \max \left\{{ \tau \left ({{ \Delta _c } f\left ( z \right )} \right ), \tau \left ({ f\left ({ z + c } \right )} \right )}\right\}= \sigma \left ({ f\left ( z \right )} \right )$$如果 f (z)有 Borel 非凡的价值 b ( C { 0 })(g (z)) 这里表示 meromorphic 功能 g (z) 的固定的点的集中的代表,并且(g (z)) 表示 g (z) 的生长的目。
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