## Abstract and Applied Analysis

- Abstr. Appl. Anal.
- Volume 2012 (2012), Article ID 451825, 11 pages.

### Relation between Small Functions with Differential Polynomials Generated by Solutions of Linear Differential Equations

#### Abstract

This paper is devoted to studying the growth of solutions of second-order nonhomogeneous linear differential equation with meromorphic coefficients. We also discuss the relationship between small functions and differential polynomials $L\left(f\right)={d}_{2}f\u2033+{d}_{1}{f}^{\prime}+{d}_{0}f$ generated by solutions of the above equation, where ${d}_{0}\left(z\right),{d}_{1}\left(z\right),$ and ${d}_{2}\left(z\right)$ are entire functions that are not all equal to zero.

#### Article information

**Source**

Abstr. Appl. Anal., Volume 2012 (2012), Article ID 451825, 11 pages.

**Dates**

First available in Project Euclid: 14 December 2012

**Permanent link to this document**

https://projecteuclid.org/euclid.aaa/1355495647

**Digital Object Identifier**

doi:10.1155/2012/451825

**Mathematical Reviews number (MathSciNet)**

MR2889086

**Zentralblatt MATH identifier**

1239.34103

#### Citation

Huang, Zhigang. Relation between Small Functions with Differential Polynomials Generated by Solutions of Linear Differential Equations. Abstr. Appl. Anal. 2012 (2012), Article ID 451825, 11 pages. doi:10.1155/2012/451825. https://projecteuclid.org/euclid.aaa/1355495647