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Keywords = valiron deficiency

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13 pages, 294 KiB  
Article
Some Results on the Deficiencies of Some Differential-Difference Polynomials of Meromorphic Function
by Hong-Yan Xu, Xiu-Min Zheng and Hua Wang
Mathematics 2018, 6(10), 207; https://doi.org/10.3390/math6100207 - 16 Oct 2018
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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 [...] Read more.
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. Full article
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