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A power of an entire function sharing one value with its derivative

✍ Scribed by Ji-Long Zhang; Lian-Zhong Yang

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
289 KB
Volume
60
Category
Article
ISSN
0898-1221

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✦ Synopsis

In this paper, we investigate uniqueness problems of entire functions that share one value with one of their derivatives. Let f be a non-constant entire function, n and k be positive ) , and f assumes the form f (z) = ce Ξ» n z , where c is a non-zero constant and Ξ» k = 1. This result shows that a conjecture given by BrΓΌck is true when F = f n , where n β‰₯ 2 is an integer.

πŸ“œ SIMILAR VOLUMES

Further Results on Entire Functions That
Further Results on Entire Functions That Share One Value with Their Derivatives
✍ Lian-Zhong Yang πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 170 KB

This paper deals with problems of the uniqueness of entire functions that share one value with their derivatives. The results in this paper generalize a result of Jank, Mues, and Volkmann and answer a question posed by H. Zhong and a question of Yi and Yang.