Entire function sharing two values partially with its derivative and a conjecture of Li and Yang
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Junfeng Xu
und
Pradip Das
Abstract
In the paper, using the idea of normal family, we investigate the uniqueness problem of entire functions that share two values partially with their k-th derivatives. The obtained results improve the results of Lü, Xu and Yi (Ann. Polon. Math. 95(1) (2009), 67–75) in a large scale. Also, as an application of our results, we have settled the conjecture posed by Li and Yang (Illinois J. Math. 44(2) (2000), 349–362).
Acknowledgement
The authors are thankful to the referee for his/her valuable suggestions for the improvement of the paper.
(Communicated by Michal Fečkan)
References
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Artikel in diesem Heft
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