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On the Growth and Polynomial Coefficients of Entire Series

机译:关于整级数的增长和多项式系数

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摘要

In this paper we have generalized some results of Rahman [1] by considering the maximum of |f(z)| over a certain lemniscate instead of considering the maximum of|f(z)|, for |z|=r and obtain the analogous results for the entire function |f(z)|=Σpk(z) [q(z)]k-1 where q(z) is a polynomial of degree m and pk(z)is of degree m-1. Moreover, we have obtained some inequalities on the lover order, type and lower type in terms of polynomial coefficients.
机译:在本文中,我们通过考虑| f(z)|的最大值来概括了Rahman [1]的一些结果。 ||||||||||||||||||||||||||||||||||||||||||||||||||| -1,其中q(z)是度m的多项式,而pk(z)是度m-1的多项式。此外,根据多项式系数,我们在情人顺序,类型和较低类型上获得了一些不等式。

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