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Entire functions that share finite values with their derivatives

Published online by Cambridge University Press:  17 April 2009

Yang Lian-Zhong
Yang Lian-Zhong
Affiliation:
Department of Mathematics, Shandong University, Jinan, Shandong 250100, People's Republic of China
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It is shown that if a nonconstant entire function f(z) and its derivative f(k)(z), share two finite values (counting multiplicities), then f(z) = f(k)(z), where k is a positive integer.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 41 , Issue 3 , June 1990 , pp. 337 - 342
Copyright
Copyright © Australian Mathematical Society 1990

References

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