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Uniqueness of entire functions sharing an entire function of smaller order with their derivatives

✍ Scribed by Xiao-Min Li; Hong-Xun Yi


Publisher
Springer US
Year
2011
Tongue
English
Weight
196 KB
Volume
175
Category
Article
ISSN
1573-8795

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Uniqueness and value-sharing of entire f
✍ Ming-Liang Fang πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 373 KB

In this paper, we study the uniqueness of entire functions and prove the following theorem. Let f(z) and g(z) be two nonconstant entire functions, n, k two positive integers with n > 2k d-4. If [fn(z)](k) and [gn(z)](k) share 1 with counting the multiplicity, then either f(z) = Cl ecz, g(z) = c2e -c