Picard type theorems concerning certain small functions |
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| Authors: | Pai Yang Lei Qiao |
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| Affiliation: | 1. College of Applied Mathematics, Chengdu University of Information Technology, Chengdu 610225, P. R. China;
2. School of of Mathematics and Information Science, He'nan University of Economics and Law, Zhengzhou 450046, P. R. China |
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| Abstract: | Let f(z) be a meromorphic function in the complex plane, whose zeros have multiplicity at least k + 1 (k ≥ 2). If sin z is a small function with respect to f(z), then f (k)(z) -P (z) sin z has infinitely many zeros in the complex plane, where P (z) is a nonzero polynomial of deg(P (z))≠1. |
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| Keywords: | Meromorphic function Nevanlinna theory Picard type theorem |
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