Uniqueness of homogeneous differential polynomials concerning weakly weighted-sharing
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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.
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.
참고문헌 (7)
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- S. Lin, "Uniqueness of meromorphic functions concerning weakly weighted-sharing", Kodai Math. J, 29(2), pp.269~280 (2006)
- H.-Y. Xu, "Uniqueness of meromorphic function and its dierential polynomial concerning weakly weighted-sharing", Gen. Math, 19(3), pp.101~111 (2011)
- C. C. Yang, "On deciencies of dierential polynomials. II", Math. Z, 125, pp.107~112 (1972)
- L. Yang, "Value Distribution Theory" (1993), Springer-Verlag
- H. X. Yi, "Uniqueness theory of meromorphic functions (in Chinese)" (1995), Science Press