Manisha Saini

activity

20182021

collaborators

8 papers

math.CV2021

Infinite order solutions of second order linear differential equations

Garima Pant, Manisha Saini

This article deals with the second order linear differential equations with entire coefficients. We prove some results involving conditions on coefficients so that the order of gro…

math.CV2020

Solutions of Higher Order Linear Differential Equations

Dinesh Kumar, Sanjay Kumar, Manisha Saini

We show that the higher order linear differential equation possesses all solutions of infinite order under certain conditions by extending the work of authors about second order di…

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 $B (z)$ .

math.CV2019

Non-Existence of Finite Order Solution of Non-homogeneous Second Order Linear Differential Equations

Dinesh Kumar, Sanjay Kumar, Manisha Saini

In this paper, we have considered second order non-homogeneous linear differential equations having entire coefficients. We have established conditions ensuring non-existence of fi…

math.CV2018

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

Manisha Saini

We have discussed the problem of finding the condition on coefficients of $f^{''} + A (z) f^{'} + B (z) f = 0, B (z) (\neq \equiv 0)$ so that all non-trivial solutions are of infinite order. T…

math.CV2018

Nevanlinna Theory and Normal Families

Manisha Saini

It is an expanded form of Drasin's work on normality of family of meromorphic functions given in his seminal paper titled "Normal Families and the Nevanlinna Theory".