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Estimates for the zeros of differences of meromorphic functions. (English) Zbl 1181.30016
Summary: Let $f$ be a transcendental meromorphic function, $g(z) = f(z + c_{1}) + f(z + c_{2}) - 2f(z)$, and $g_{2}(z) = f(z + c_{1}) \cdot f(z + c^{2}) - f ^{2}(z)$. The exponents of convergence of zeros of $g(z)$, $g_{2}(z)$, $g(z)/f(z)$, and $g^{2}(z)/f^{2}(z)$ are estimated accurately.

30D35Distribution of values (one complex variable); Nevanlinna theory
Full Text: DOI
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