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arXiv · 2111.14379

Order of growth of solutions of linear complex differential equations when the coefficients have same order

Naveen Mehra·S. K. Chanyal
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Abstract

This article contains the theorems which shows that when $A(z)=h_1(z)e^{P_1(z)}$ and $B(z)=h_0(z)e^{P_0(z)}$ are of same order,then all the non-trivial solutions of equation $f"+A(z)f'+B(z)f=0$ are of infinite order. Moreover we extend these results to higher order differential equations.

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Naveen Mehra, S. K. Chanyal. 2021-11-29. Order of growth of solutions of linear complex differential equations when the coefficients have same order. https://arxiv.org/abs/2111.14379

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