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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Hong-Yan Xu & Xiu-Min Zheng & Hua Wang, 2018. "Some Results on the Deficiencies of Some Differential-Difference Polynomials of Meromorphic Function," Mathematics, MDPI, vol. 6(10), pages 1-13, October.
    • Handle: RePEc:gam:jmathe:v:6:y:2018:i:10:p:207-:d:176098
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    References listed on IDEAS

    as
    1. Zong-Xuan Chen, 2011. "On Value Distribution of Difference Polynomials of Meromorphic Functions," Abstract and Applied Analysis, Hindawi, vol. 2011, pages 1-9, July.
    2. Xiu-Min Zheng & Hong Yan Xu, 2014. "On the Deficiencies of Some Differential-Difference Polynomials," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-12, February.
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