S. K. Chanyal

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20212023

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math.CV2021

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

Naveen Mehra, S. K. Chanyal

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(…

math.CV2021

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

Naveen Mehra, Garima Pant, S. K. Chanyal

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 $B (z)$ ha…