2012Unpublished venueRequires access

On the growth of solutions of second order complex differential equation with meromorphic

Pengcheng Wu, Shengjian Wu, Jun Zhu

Open publisher page 0 citations

Abstract

We consider the differential equation f’’ + Af’ + Bf = 0 where A(z) and B(z) ≢ 0 are mero-morphic functions. Assume that A(z) belongs to the Edrei-Fuchs class and B(z) has a deficient value ∞ ,i ff ≢ 0 is a meromorphic solution of the equation, then f must have infinite order. Mathematical Subject Classification 2000: 34M10; 30D35.

About this research paper

What this paper is about

We consider the differential equation f’’ + Af’ + Bf = 0 where A(z) and B(z) ≢ 0 are mero-morphic functions. Assume that A(z) belongs to the Edrei-Fuchs class and B(z) has a deficient value ∞ ,i ff ≢ 0 is a meromorphic solution of the equation, then f must have infinite order. Mathematical Subject Classification 2000: 34M10; 30D35.

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

We consider the differential equation f’’ + Af’ + Bf = 0 where A(z) and B(z) ≢ 0 are mero-morphic functions. Assume that A(z) belongs to the Edrei-Fuchs class and B(z) has a deficient value ∞ ,i ff ≢ 0 is a meromorphic solution of the equation, then f must have infinite order. Mathematical Subject Classification 2000: 34M10; 30D35.

Key concepts: Meromorphic function, Mathematics, Differential equation, Order (exchange), Class (philosophy), Pure mathematics, Algebraic differential equation, Mathematical analysis

Related papers

Back to paper searchBrowse research topicsOriginal source
On the growth of solutions of second order complex differential equation with meromorphic — Research Paper | ScholarLens