A note on the hyper-order of entire functions (Q2843793)

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scientific article; zbMATH DE number 6201383
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A note on the hyper-order of entire functions
scientific article; zbMATH DE number 6201383

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    26 August 2013
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    complex differential equation
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    normal family
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    order of entire functions
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    sharing functions
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    A note on the hyper-order of entire functions (English)
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    The main purpose of this paper is to study properties of the order and the hyper-order of the solutions of some differential equations. The authors estimate the hyper-order of entire functions which share two functions with their first derivative, and two examples are given to show that the conclusion is sharp. Finally, they generalize the Brück conjecture with the idea of sharing functions.
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