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Some uniqueness results related to the Brück conjecture

  • Bikash Chakraborty ORCID logo EMAIL logo
Published/Copyright: March 14, 2018

Abstract

Let f be a non-constant meromorphic function and let a=a(z) (0,) be a small function of f. Under certain essential conditions, we obtained a conclusion similar to the Brück Conjecture, when f and its differential polynomial P[f] shares a with weight l (0). Our result improves and generalizes a recent result of Li, Yang and Liu [N. Li, L. Yang and K. Liu, A further result related to a conjecture of R. Brück, Kyungpook Math. J. 56 2016, 2, 451–464].

MSC 2010: 30D35

Acknowledgements

The author wishes to thank the referee for his/her valuable remarks and suggestions towards the improvement of the paper.

References

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Received: 2017-12-29
Accepted: 2018-3-8
Published Online: 2018-3-14
Published in Print: 2018-5-1

© 2018 Walter de Gruyter GmbH, Berlin/Boston

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