Geodesic
A study on entire functions of hyper-order sharing a finite set with their high-order difference operators
Filomat, Tome 37 (2023) no. 2, p. 417

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DOI

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 ∆ n c 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.
DOI : 10.2298/FIL2302417G
Classification : 30D35, 30D20, 30D30
Keywords: URSE, Entire function, Difference operator, Sharing set 
Hongxiao Guo; Feng Lü; Weiran Lü. A study on entire functions of hyper-order sharing a finite set with their high-order difference operators. Filomat, Tome 37 (2023) no. 2, p. 417 . doi: 10.2298/FIL2302417G
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     title = {A study on entire functions of hyper-order sharing a finite set with their high-order difference operators},
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     year = {2023},
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     doi = {10.2298/FIL2302417G},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2302417G/}
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