Abstract and Applied Analysis

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

Zhigang Huang

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 $L(f)={d}_{2}f″+{d}_{1}{f}^{\prime }+{d}_{0}f$ generated by solutions of the above equation, where ${d}_{0}(z),{d}_{1}(z),$ and ${d}_{2}(z)$ 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

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

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