Zero distribution of some shift polynomials

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:469

Article

Laine, Ilpo¹ 

[1] Univ Eastern Finland, Dept Phys & Math, POB 111, FI-80101 Joensuu, Finland

关键词: Meromorphic functions;    Differences;    Shifts;    Zero distribution;   

DOI  :  10.1016/j.jmaa.2018.09.036

来源: Elsevier

【 摘 要 】

Given an entire function f of finite order rho, let g(f) := Sigma(k)(j=1) b(j)(z)f(z+c(j)) be a shift polynomial of f with small meromorphic coefficients b(j) in the sense of O(r(lambda+epsilon)) + S(r, f), lambda < rho. Provided alpha, beta, b(0) are similar small meromorphic functions, we consider zero distribution of f(n)(g(f))(s) - b(0), resp. of g(f) - alpha f(n) - beta. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

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