On Homogeneous Differential Polynomialsof Meromorphic Functions |
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| Authors: | Wei Chuan Lin Hong Xun Yi |
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| Affiliation: | (1) Department of Mathematics, Shantou University, Shantou 515063, P. R. China;(2) Department of Mathematics, Fujian Teachers University, Fuzhou 350007, P. R. China;(3) Department of Mathematics, Shandong University, Jinan 250100, P. R. China |
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| Abstract: | In this paper, we study one conjecture proposed by W. Bergweiler and show that any transcendental meromorphic functions f(z) have the form exp(αz+β) if f(z)f″(z)–a(f′ (z))2≠0, where  . Moreover, an analogous normality criterion is obtained. Supported by National Natural Science Foundation and Science Technology Promotion Foundation of Fujian Province (2003) |
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| Keywords: | Differential polynomial Normal family Meromorphic function |
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