Some Results on the Deficiencies of Some Differential-Difference Polynomials of Meromorphic Function

Hong-Yan Xu, Xiu-Min Zheng and Hua Wang
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Hong-Yan Xu: Department of Informatics and Engineering, Jingdezhen Ceramic Institute, Jingdezhen 333403, Jiangxi, China
Xiu-Min Zheng: Institute of Mathematics and Information Science, Jiangxi Normal University, Nanchang 330022, Jiangxi, China
Hua Wang: Department of Informatics and Engineering, Jingdezhen Ceramic Institute, Jingdezhen 333403, Jiangxi, China

Mathematics, 2018, vol. 6, issue 10, 1-13

Abstract: For a transcendental meromorphic function f ( z ) , the main aim of this paper is to investigate the properties on the zeros and deficiencies of some differential-difference polynomials. Some results about the deficiencies of some differential-difference polynomials concerning Nevanlinna deficiency and Valiron deficiency are obtained, which are a generalization of and improvement on previous theorems given by Liu, Lan and Zheng, etc.

Keywords: differential-difference polynomial; nevanlinna deficiency; valiron deficiency (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
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