Title :
On the value distribution of linear differential polynomials and the solution growth of linear differential equations
Author_Institution :
Dept. of Math. & Phys., Xi´´an Technol. Univ., Xi´´an, China
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;
Conference_Titel :
Multimedia Technology (ICMT), 2011 International Conference on
Conference_Location :
Hangzhou
Print_ISBN :
978-1-61284-771-9
DOI :
10.1109/ICMT.2011.6002551
