Value sharing results for shifts of meromorphic functions

By Xudan Luo, Wei-Chuan Lin. 2011

94 citations recorded by the source corpus.

Abstract In this paper, we deal with the value distribution of difference products of entire functions, and present some result on two difference products of entire functions sharing one value with the same multiplicities. The research findings also include an analogue for shift of a well-known conjecture by Bruck. Our theorems improve the results of I. Laine and C.C. Yang [I. Laine, C.C. Yang, Value distribution of difference polynomials, Proc. Japan Acad. Ser. A Math. Sci. 83 (2007) 148–151], K. Liu and L.Z. Yang [K. Liu, L.Z. Yang, Value distribution of the difference operator, Arch. Math. 92 (2009) 270–278], and J. Heittokangas et al. [J. Heittokangas, R. Korhonen, I. Laine, J. Rieppo, J.L. Zhang, Value sharing results for shifts of meromorphic function, and sufficient conditions for periodicity, J. Math. Anal. Appl. 355 (2009) 352–363]. Moreover, we show by illustrating a number of examples that our results are best possible in certain senses.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/1cfad5097b955707dd55ae0692963185c9c701dd

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In Applied Mathematics

  1. R. Korhonen
  2. I. Laine
  3. J. Heittokangas
  4. J. Rieppo
  5. Zong-Xuan Chen
  6. Ting-Bin Cao
  7. R. Halburd
  8. X. Zheng

In Geometry and Topology

  1. I. Laine
  2. J. Heittokangas
  3. J. Rieppo
  4. R. Korhonen
  5. Zong-Xuan Chen
  6. Ting-Bin Cao
  7. X. Zheng
  8. R. Halburd

Citations in the corpus