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    A note on unicity of meromorphic functions in several variables

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    https://www.riss.kr/link?id=A108639517

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    다국어 초록 (Multilingual Abstract) kakao i 다국어 번역

    Let $f(z)$ be a meromorphic function in several variables satisfying $$\limsup\limits_{r\rightarrow\infty}\frac{\log T(r,f)}{r}=0.$$ We mainly investigate the uniqueness problem on $f$ in $\mathbb{C}^{m}$ sharing polynomial or periodic small function with its difference polynomials from a new perspective. Our main theorems can be seen as the improvement and extension of previous results.
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    Let $f(z)$ be a meromorphic function in several variables satisfying $$\limsup\limits_{r\rightarrow\infty}\frac{\log T(r,f)}{r}=0.$$ We mainly investigate the uniqueness problem on $f$ in $\mathbb{C}^{m}$ sharing polynomial or periodic small function ...

    Let $f(z)$ be a meromorphic function in several variables satisfying $$\limsup\limits_{r\rightarrow\infty}\frac{\log T(r,f)}{r}=0.$$ We mainly investigate the uniqueness problem on $f$ in $\mathbb{C}^{m}$ sharing polynomial or periodic small function with its difference polynomials from a new perspective. Our main theorems can be seen as the improvement and extension of previous results.

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    참고문헌 (Reference)

    1 G. Jank, "die mit ihrer ersten und zweiten Ableitung einen endlichen Wert teilen" 6 (6): 51-71, 1986

    2 H. H. Khoai, "Value-sharing and uniqueness problems for non-Archimedean differential polynomials in several variables" 63 (63): 233-249, 2018

    3 P. Li, "Uniqueness theorems on entire functions and their derivatives" 253 (253): 50-57, 2001

    4 W. Wu, "Uniqueness theorems of meromorphic functions and their differences in several complex variables" 22 (22): 379-399, 2022

    5 B. Q. Chen, "Uniqueness problems on entire functions that share a small function with their difference operators" 311 : 11-, 2014

    6 Z. H. Chen, "Uniqueness problem of meromorphic functions sharing small functions" 134 (134): 2895-2904, 2006

    7 Z. Gao, "Uniqueness of meromorphic functions sharing values with their nth order exact differences" 45 (45): 321-334, 2019

    8 B. Q. Li, "Uniqueness of entire functions sharing four small functions" 119 (119): 841-858, 1997

    9 P. C. Hu, "Unicity of Meromorphic Mappings" Springer 2013

    10 Z. X. Chen, "On the difference counterpart of Br¨uck’s conjecture" 34 (34): 653-659, 2014

    1 G. Jank, "die mit ihrer ersten und zweiten Ableitung einen endlichen Wert teilen" 6 (6): 51-71, 1986

    2 H. H. Khoai, "Value-sharing and uniqueness problems for non-Archimedean differential polynomials in several variables" 63 (63): 233-249, 2018

    3 P. Li, "Uniqueness theorems on entire functions and their derivatives" 253 (253): 50-57, 2001

    4 W. Wu, "Uniqueness theorems of meromorphic functions and their differences in several complex variables" 22 (22): 379-399, 2022

    5 B. Q. Chen, "Uniqueness problems on entire functions that share a small function with their difference operators" 311 : 11-, 2014

    6 Z. H. Chen, "Uniqueness problem of meromorphic functions sharing small functions" 134 (134): 2895-2904, 2006

    7 Z. Gao, "Uniqueness of meromorphic functions sharing values with their nth order exact differences" 45 (45): 321-334, 2019

    8 B. Q. Li, "Uniqueness of entire functions sharing four small functions" 119 (119): 841-858, 1997

    9 P. C. Hu, "Unicity of Meromorphic Mappings" Springer 2013

    10 Z. X. Chen, "On the difference counterpart of Br¨uck’s conjecture" 34 (34): 653-659, 2014

    11 M. Ru, "Nevanlinna theory and its relation to Diophantine approximation" World Sci. Publishing, Inc 2001

    12 B. M. Deng, "Meromorphic functions that share a polynomial with their difference operators" 2018 : 15-, 2018

    13 T.-B. Cao, "Logarithmic difference lemma in several complex variables and partial difference equations" 199 (199): 767-794, 2020

    14 P. Li, "Entire functions that share one value with their linear differential polynomials" 22 (22): 446-457, 1999

    15 A. El Farissi, "Entire functions that share a small function with their difference operators" 2016 : 13-, 2016

    16 R. Nevanlinna, "Einige Eindeutigkeitss¨atze in der Theorie der Meromorphen Funktionen" 48 (48): 367-391, 1926

    17 B. V. Shabat, "Distribution of values of holomorphic mappings, translated from the Russian" Amer. Math. Soc 1985

    18 Z. Liu, "Difference uniqueness theorems on meromorphic functions in several variables" 42 (42): 2481-2505, 2018

    19 C. Berenstein, "A note on Wronskians and linear dependence of entire functions in Cn" 24 (24): 131-144, 1994

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