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arXiv · 1812.09712

Order and Hyper-order of Solutions of Second Order Linear Differential Equations

Manisha Saini
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Abstract

We have discussed the problem of finding the condition on coefficients of $f''+A(z)f'+B(z)f=0, \quad B(z)(\not \equiv 0)$ so that all non-trivial solutions are of infinite order. The hyper-order of these non-trivial solutions of infinite order is also found when $\lambda(A)<\rho(A)$ and $B(z)$ is a transcendental entire function satisfying some conditions.

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Manisha Saini. 2018-12-23. Order and Hyper-order of Solutions of Second Order Linear Differential Equations. https://arxiv.org/abs/1812.09712

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