Abstract
The following theorem has been proved by A. Schweizer [7]. If a nonconstant entire function f and its derivative f′ share their simple zeros and if every simple a-point of f is a (not necessarily simple) a-point of f′ for some nonzero constant a, then f ≡ f′. In this paper we shall prove that the above result is also true when the nonzero constant a is replaced by a meromorphic small function β( $\not\equiv$ 0, ∞).
Citation
Amer H. H. Al-Khaladi. "Entire functions and their first derivatives sharing simple β-points for a small function β." Kodai Math. J. 38 (2) 289 - 301, June 2015. https://doi.org/10.2996/kmj/1436403891
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