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arXiv · 2111.14374

Growth of Solutions of Complex Differential Equations with Entire Coefficients having a Multiply-Connected Fatou Component

Naveen Mehra·Garima Pant·S. K. Chanyal
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Abstract

In this study, we show that all non-trivial solutions of $f"+A(z)f'+B(z)f=0$ have infinite order, provided that the entire coefficient $A(z)$ has certain restrictions and $B(z)$ has multiply-connected Fatou component. We also extend these results to higher order linear differential equations.

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Naveen Mehra, Garima Pant, S. K. Chanyal. 2021-11-29. Growth of Solutions of Complex Differential Equations with Entire Coefficients having a Multiply-Connected Fatou Component. https://arxiv.org/abs/2111.14374

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