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Derivatives of meromorphic functions and exponential functions

Derivatives of meromorphic functions and exponential functions
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摘要 We take up a new method to prove a Picard type theorem. Let f be a meromorphic function in the complex plane, whose zeros are multiple, and let R be a MSbius transformation. If limr→∞T(r,f)/r^2= ∞, then f'(z) = R(ez) has infinitely many solutions in the complex plane. We take up a new method to prove a Picard type theorem. Let f be a meromorphic function in the complex plane, whose zeros are multiple, and let R be a MSbius transformation. If limr→∞T(r,f)/r^2= ∞, then f'(z) = R(ez) has infinitely many solutions in the complex plane.
出处 《Frontiers of Mathematics in China》 SCIE CSCD 2018年第2期417-433,共17页 中国高等学校学术文摘·数学(英文)
基金 This work was supported by the National Natural Science Foundation of China (Grant Nos. 11501367, 11671191)
关键词 Meromorphic function quasinormal family Picard theorem Meromorphic function, quasinormal family, Picard theorem
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