ScholarLens Back to search
2015•Shuxue de shijian yu renshiRequires access

On the growth of Solutions of a Class of Second Order Complex Linear Differential Equation

Long Jian-re

Open publisher page 0 citations

Abstract

Using Nevanlinna theory of the value distribution of meromorphic functions,the problem of the growth of solutions of f″+ A(z)f′ + B(z)f = 0 is investigated,where A(z)is a nontrivial solution of the equation w + P(z)w = 0,P(z) is a polynomial of degree n.And under the assumption of certain proper conditions of B(z),we prove a result which every nontrivial solutions f(z) of the equation is of infinite order and improve some results in previous references.

About this research paper

What this paper is about

Using Nevanlinna theory of the value distribution of meromorphic functions,the problem of the growth of solutions of f″+ A(z)f′ + B(z)f = 0 is investigated,where A(z)is a nontrivial solution of the equation w + P(z)w = 0,P(z) is a polynomial of degree n.And under the assumption of certain proper conditions of B(z),we prove a result which every nontrivial solutions f(z) of the equation is of infinite order and improve some results in previous references.

Why it matters

A significance statement is not available in the OpenAlex record.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Using Nevanlinna theory of the value distribution of meromorphic functions,the problem of the growth of solutions of f″+ A(z)f′ + B(z)f = 0 is investigated,where A(z)is a nontrivial solution of the equation w + P(z)w = 0,P(z) is a polynomial of degree n.And under the assumption of certain proper conditions of B(z),we prove a result which every nontrivial solutions f(z) of the equation is of infinite order and improve some results in previous references.

Key concepts: Meromorphic function, Mathematics, Order (exchange), Nevanlinna theory, Class (philosophy), Degree (music), Polynomial, Differential equation

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
On the growth of Solutions of a Class of Second Order Complex Linear Differential Equation — Research Paper | ScholarLens