On Solution of Second Order Complex Differential Equation

Dinesh Kumar; Sanjay Kumar; Manisha Saini

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arXiv · 1810.02704

On Solution of Second Order Complex Differential Equation

Dinesh Kumar·Sanjay Kumar·Manisha Saini

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Abstract

In this paper, we establish transcendental entire function $A(z)$ and polynomial $B(z)$ such that the differential equation $f''+A(z)f'+B(z)f=0$, has all non-trivial solution of infinite order. We use the notion of \emph{critical rays} of the function $e^{P(z)}$, where $A(z)=d(z)e^{P(z)}$ with some restrictions.

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Dinesh Kumar, Sanjay Kumar, Manisha Saini. 2018-10-04. On Solution of Second Order Complex Differential Equation. https://arxiv.org/abs/1810.02704

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