A study on entire functions of hyper-order sharing a finite set with their high-order difference operators

Hongxiao Guo, Feng Lü, Weiran Lü

Type: Article

Publication Date: 2023-01-01

Citations: 0

DOI: https://doi.org/10.2298/fil2302417g

Abstract

In this paper, due to the Borel lemma and Clunie lemma, we will deduce the relationship between an entire function f of hyper-order less than 1 and its n-th difference operator ?nc f (z) if they share a finite set and f has a Borel exceptional value 0, where the set consists of two entire functions of smaller orders. Moreover, the exact form of f is given and an example is provided to show the sharpness of the condition.

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Works Cited by This (16)

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+ PDF Chat	A question of Gross and the uniqueness of entire functions	1995	Hong‐Xun Yi
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+	On Integral and Meromorphic Functions	1962	J. Clunie
+ PDF Chat	Some further results on the unique range sets of meromorphic functions	1995	Ping Li Chung-Chun Yang
+ PDF Chat	On preimage and range sets of meromorphic functions	1982	Fred Gross Chung-Chun Yang