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Growth of Solutions of Complex Differential Equations with Solutions of Another Equation as Coefficients

机译:以另一个方程为系数的复微分方程解的增长

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摘要

We study the growth of solutions of f+A(z)f+B(z)f=0, where A(z) and B(z) are non-trivial solutions of another second-order complex differential equations. Some conditions guaranteeing that every non-trivial solution of the equation is of infinite order are obtained, in which the notion of accumulation rays of the zero sequence of entire functions is used.
机译:我们研究了f + A(z)f + B(z)f = 0的解的增长,其中A(z)和B(z)是另一个二阶复微分方程的非平凡解。获得了一些条件,这些条件保证方程的每个非平凡解都是无限级的,其中使用了整个函数的零序列的累积射线的概念。

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