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http://dx.doi.org/10.5666/KMJ.2020.60.2.387

Set shared by an Entire Function with its k-th Derivative Using Normal Families  

Ahamed, Molla Basir (Department of Mathematics, Kalipada Ghosh Tarai Mahavidyalaya)
Publication Information
Kyungpook Mathematical Journal / v.60, no.2, 2020 , pp. 387-399 More about this Journal
Abstract
In this paper, we study a problem of a non-constant entire function f that shares a set S = {a, b, c} with its k-th derivative f(k), where a, b and c are any three distinct complex numbers. We have found a gap in the statement of the main result of Chang-Fang-Zalcman [10], and with the help of their method, we have generalize their result in a more compact form. As an application, we generalize the famous Brück conjecture [9] with the idea of set sharing.
Keywords
normal families; entire functions; set sharing; derivative;
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Times Cited By KSCI : 2  (Citation Analysis)
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