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.
Dilip Chandra Pramanik, Jayanta Roy
Raja Rammohunpur, Darjeeling-734013; Raja Rammohunpur, Darjeeling-734013
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
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