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Mathematica Slovaca

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Volume 64, Issue 5

Issues

Some results on the entire function sharing problem

BaoQin Chen / Sheng Li
Published Online: 2014-11-15 | DOI: https://doi.org/10.2478/s12175-014-0270-2

Abstract

Our main result is as follows: let f and a be two entire functions such that $$\max \{ \rho _2 (f),\rho _2 (a)\} < \tfrac{1} {2}$$. If f and f (k) a CM, and if ρ(a (k) − a) < ρ(f − a), then f (k) − a = c(f − a) for some nonzero constant c. This result is applied to improve a result of Gundersen and Yang.

MSC: Primary 30D35

Keywords: entire function; shared value; derivative

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About the article

Published Online: 2014-11-15

Published in Print: 2014-10-01


Citation Information: Mathematica Slovaca, Volume 64, Issue 5, Pages 1217–1226, ISSN (Online) 1337-2211, ISSN (Print) 0139-9918, DOI: https://doi.org/10.2478/s12175-014-0270-2.

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© 2014 Mathematical Institute, Slovak Academy of Sciences. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. BY-NC-ND 3.0

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