Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

Article

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Commun. Korean Math. Soc. 2019; 34(2): 439-449

Online first article April 16, 2019      Printed April 30, 2019

https://doi.org/10.4134/CKMS.c180083

Copyright © The Korean Mathematical Society.

Uniqueness of homogeneous differential polynomials concerning weakly weighted-sharing

Dilip Chandra Pramanik, Jayanta Roy

Raja Rammohunpur, Darjeeling-734013; Raja Rammohunpur, Darjeeling-734013

Abstract

In 2006, S. Lin and W. Lin introduced the definition of weakly weighted-sharing of meromorphic functions which is between ``CM" and ``IM". In this paper, using the notion of weakly weighted-sharing, we study the uniqueness of nonconstant homogeneous differential polynomials $P[f]$ and $P[g]$ generated by meromorphic functions $f$ and $g$, respectively. Our results generalize the results due to S. Lin and W. Lin, and H.-Y. Xu and Y. Hu.

Keywords: meromorphic function, weakly weighted share, small function, differential polynomial

MSC numbers: 30D30, 30D35