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A note on unicity of meromorphic functions in several variables

Yezhou Li|Heqing Sun
대한수학회 (The Korean Mathematical Society)|2023.07|대한수학회지 (Journal of the KMS)|제60권 제4호|pp. 859-876|DOI 10.4134/JKMS.j220473

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키워드

uniquenessMeromorphic functiondifference polynomialsperiodic small functionseveral variables
주제분류수학

초록

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.

Abstract

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.

참고문헌 (19)

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관련 논문AI추천

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