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Uniqueness of meromorphic functions of differential polynomials sharing a small function with finite weight

  • Harina P. Waghamore EMAIL logo and Vijaylaxmi Bhoosnurmath

Abstract

Let f be a non-constant meromorphic function and a=a(z) (0,) a small function of f. Here, we obtain results similar to the results due to Indrajit Lahiri and Bipul Pal [Uniqueness of meromorphic functions with their homogeneous and linear differential polynomials sharing a small function, Bull. Korean Math. Soc. 54 2017, 3, 825–838] for a more general differential polynomial by introducing the concept of weighted sharing.

MSC 2010: 30D35

Acknowledgements

The authors would like to thank the referee for his/her valuable suggestions towards the improvement of the paper.

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Received: 2018-07-17
Revised: 2019-02-26
Accepted: 2019-03-01
Published Online: 2019-11-20
Published in Print: 2019-12-01

© 2019 Walter de Gruyter GmbH, Berlin/Boston

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