The Zeros of a Certain Homogeneous Difference Polynomials of Meromorphic Functions

Qian Lu, Qilong Liao

Department of Material Science and Engineer, Southwest University of Science and Technology, Mianyang, China.
Department of Mathematics, Southwest University of Science and Technology, Mianyang, China.

DOI: 10.4236/apm.2013.31012                

Abstract

Let f(z) be a function transcendental and meromorphic in the plane of growth order less than 1. This paper focuses on discuss and estimate the number of the zeros of a certain homogeneous difference polynomials of degree k in f(z), and obtains that this certain homogeneous difference polynomials has infinitely many zeros.

Keywords

Meromorphic Functions; Zeros; Homogeneous Difference Polynomials

Conflicts of Interest

The authors declare no conflicts of interest.

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