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June 1, 1990Bulletin of the Australian Mathematical SocietyOpen Access

Entire functions that share finite values with their derivatives

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Abstract

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.

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Cite This Study

A 1990 study studied this question.

synapsesocial.com/papers/6a85c49b57a6378aebd0c5ef https://doi.org/10.1017/s0004972700018190

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