Value distribution of general differential-difference polynomials of meromorphic functions

Abstract

In this paper, by reducing the conditions on the zeros and poles of a finite order meromorphic function f(z), we improve the results by Zheng and Chen (Acta. Math. Sin. 54, 983–992 [12]) and Zheng and Xu (Abstr. Appl. Anal. 12 pages [13]).

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Acknowledgements

The authors are thankful to the referees for their valuable suggestions towards the improvement of the paper. First author is supported by UGC-SAP DRS-III, Department of Mathematics, Karnatak University, Dharwad. Ref. No. F.510/3/DRS-III/2016(SAP-I) Dated: 29th February 2016 and the second author was supported by UGC-UPE fellowship, Department of Mathematics, Karnatak University, Dharwad. Ref. No. KU/Sch/UGC-UPE/2014-15/894.

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Correspondence to Renukadevi S. Dyavanal.

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Dyavanal, R.S., Mathai, M.M. Value distribution of general differential-difference polynomials of meromorphic functions. J Anal 27, 931–942 (2019). https://doi.org/10.1007/s41478-018-0155-9

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Keywords

  • Meromorphic function f(z)
  • Deficiency of zeros and poles of f(z)
  • Order of f(z) and differential-difference polynomials of  f(z)

Mathematics Subject Classification

  • 30D35
  • 39A05