On the value distribution of linear differential polynomials and the solution growth of linear differential equations

Author

Yang, Li

Author_Institution

Dept. of Math. & Phys., Xi´´an Technol. Univ., Xi´´an, China

fYear

2011

fDate

26-28 July 2011

Firstpage

2245

Lastpage

2250

Abstract

In this paper, we study the value distribution of linear differential polynomials and the solution growth of linear differential equations, and have obtained a fundamental inequality on the zeros and poles of linear differential polynomials. This result not only covers Frank-Weissenborn inequality, and reveals a relation between the value distribution of linear differential polynomials and the solution growth of linear differential equations. As its applications, Hayman-Yang inequality and some known theorems are generalized. The examples are provided to show that the conditions of theorems obtained in the present paper are essential.

Keywords

linear differential equations; poles and zeros; polynomials; Frank-Weissenborn inequality; Hayman-Yang inequality; fundamental inequality; linear differential equations; linear differential polynomials; solution growth; value distribution; zeros and poles; Electronic mail; Physics; Poles and zeros; Polynomials; differential equation; differential polynomial; meromorphic function;

fLanguage

English

Publisher

ieee

Conference_Titel

Multimedia Technology (ICMT), 2011 International Conference on

Conference_Location

Hangzhou

Print_ISBN

978-1-61284-771-9

Type

conf

DOI

10.1109/ICMT.2011.6002551

Filename

6002551