Meromorphic solutions of some linear functional equations
Meromorphic solutions of some linear functional equations
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DOI：
10.1007/s000100050143
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发表时间：
2000-08
影响因子：
0.8
通讯作者：
J. Heittokangas;I. Laine;J. Rieppo;D. Yang
中科院分区：
文献类型：
--
作者：
J. Heittokangas;I. Laine;J. Rieppo;D. Yang
本文研究了一类亚纯函数在复平面上的亚纯解，其中0 < |c| < 1为亚纯函数。如果系数都是常数，那么只有一个亚纯解存在。在一般情况下，我们给出了解的增长估计以及极点和零点的收敛指数。在1 < |c| < +的情况下也有类似的结果。结束语表明，|c| = 1的情况不同。
We consider meromorphic solutions in the complex plane to functional equations of the form, where 0 < |c| < 1,andare meromorphic functions. If the coefficientsare constants andfor all, then exactly one meromorphic solution exists. In the general case, we give growth estimates for the solutionsfas well as for the exponent of convergenceof poles andof zeros off. Similar results hold in the case 1 < |c| < +. Concluding remarks show that the case |c| = 1 is different.