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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.
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참고문헌 (7)
참고문헌 신청
W. K. Hayman / 1964 / Meromorphic Functions, Oxford Mathematical Monographs / Clarendon Press
Indrajit Lahiri / 2017 / Uniqueness of meromorphic functions with their homogeneous and linear differential polynomials sharing a small function / 대한수학회보 54(3):825~838
S. Lin / 2006 / Uniqueness of meromorphic functions concerning weakly weighted-sharing / Kodai Math. J 29(2):269~280
H.-Y. Xu / 2011 / Uniqueness of meromorphic function and its dierential polynomial concerning weakly weighted-sharing / Gen. Math 19(3):101~111
C. C. Yang / 1972 / On deciencies of dierential polynomials. II / Math. Z 125:107~112
Indrajit Lahiri / 2017 / Uniqueness of meromorphic functions with their homogeneous and linear differential polynomials sharing a small function / 대한수학회보 54(3):825~838
S. Lin / 2006 / Uniqueness of meromorphic functions concerning weakly weighted-sharing / Kodai Math. J 29(2):269~280
H.-Y. Xu / 2011 / Uniqueness of meromorphic function and its dierential polynomial concerning weakly weighted-sharing / Gen. Math 19(3):101~111
C. C. Yang / 1972 / On deciencies of dierential polynomials. II / Math. Z 125:107~112
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