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Let $f$ be a meromorphic function of finite order $\rho$ with few poles in the sense $S_{\lambda}(r,f):=O(r^{\lambda +\varepsilon})+S(r,f)$, where $\lambda <\rho$ and $\varepsilon \in (0,\rho-\lambda)$, and let $g(f):=\sum_{j=1}^{k}b_{j}(z)f^{(k_j)}(z+c_{j})$ be a linear delay-differential polynomial of $f$ with small meromorphic coefficients $b_{j}$ in the sense $S_{\lambda}(r,f)$. The zero distribution of $f^{n}(g(f))^{s}-b_{0}$ is considered in this paper, where $b_0$ is a small function in the sense $S_{\lambda}(r,f)$.
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참고문헌 (14)
참고문헌 신청
Abdullah Alotaibi / 2004 / On the Zeros of af(f (k))n − 1 for n ≥ 2 / Computational Methods and Function Theory 4(1):227~235
M. Andasmas / 2020 / Further results on certain type of nonlinear difference polynomials / Rend. Circ. Mat. Palermo, II. Ser 69:39~51
Z. Chen / 2014 / Complex Differences and Difference Equations / Science Press
Chen Zongxuan / 2011 / On properties of difference polynomials / Acta Mathematica Scientia 31(2):627~633
G. G. Gundersen / 1988 / Estimates for the logarithmic derivative of a meromorphic function, plus similar estimates / J. London Math. Soc. 37(1):88~104
M. Andasmas / 2020 / Further results on certain type of nonlinear difference polynomials / Rend. Circ. Mat. Palermo, II. Ser 69:39~51
Z. Chen / 2014 / Complex Differences and Difference Equations / Science Press
Chen Zongxuan / 2011 / On properties of difference polynomials / Acta Mathematica Scientia 31(2):627~633
G. G. Gundersen / 1988 / Estimates for the logarithmic derivative of a meromorphic function, plus similar estimates / J. London Math. Soc. 37(1):88~104
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