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The Zeros of a Certain Homogeneous Difference Polynomials of Meromorphic Functions
Department of Mathematics, Southwest University of Science and Technology, Mianyang, China
Department of Material Science and Engineer, Southwest University of Science and Technology, Mianyang, China
- 1 Department of Mathematics, Southwest University of Science and Technology, Mianyang, China
- 2 Department of Material Science and Engineer, Southwest University of Science and Technology, Mianyang, China
Advances in Pure Mathematics·Volume 03 (2013)·Pages 99–104·Published 11 January 2013·DOI10.4236/apm.2013.31012
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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.
KeywordsMeromorphic FunctionsZerosHomogeneous Difference Polynomials
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