Naveen Mehra

activity

20202023

collaborators

6 papers

math.CV2023

Study of Growth of Certain Second Order Linear Differential Equations

Naveen Mehra, Garima Pant, S. K. Chanyal

In this article, we study about the solutions of second order linear differential equations by considering several conditions on the coefficients of homogenous linear differential…

math.CV2022

Solutions of Non-Homogenous Linear Differential Equations

Naveen Mehra, S. K. Chanyal

This article is devoted to the study of solutions of non-homogenous linear differential equations having entire coefficients. We get all non-trivial solutions of infinite order of…

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…

math.CV2021

[Infinite Order of Growth of Solutions of Second Order Linear Differential Equations

Naveen Mehra, V. P. Pande

Considering differential equation f''+A(z)f'+B(z)f=0, where A(z) and B(z) are entire complex functions, our results revolve around proving all non-trivial solutions are of infinite…

math.CV2020

Growth of Solutions of Second Order Linear Differential Equations

Sanjay Kumar, Naveen Mehra, Manisha Saini

In this paper, we will prove that all non-trivial solutions of $f^{''} + A (z) f^{'} + B (z) f = 0$ are of infinite order, where we have some restrictions on entire functions $A (z)$ and $B (z)$ .