Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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Bull. Korean Math. Soc. 2015; 52(1): 13-33

Printed January 31, 2015

https://doi.org/10.4134/BKMS.2015.52.1.13

Copyright © The Korean Mathematical Society.

Weighted sharing and uniqueness of entire or meromorphic functions

Subhas S. Bhoosnurmath and Veena L. Pujari

Karnatak University, Vijaya College

Abstract

In this paper, we study the uniqueness problems of entire or meromorphic functions concerning differential polynomials that share one value with multiplicity using weighted sharing method. We prove two main theorems which generalize and improve the results of Fang and Fang \cite{1}, Dyavanal \cite{3} and others and also solve the open problem posed by Dyavanal. This method yields some new results.

Keywords: uniqueness, meromorphic function, differential polynomial, weighted sharing

MSC numbers: 30D35