Uniqueness of meromorphic functions on ℂm

  • Pei-Chu Hu
  • Ping Li
  • Chung-Chun Yang
Part of the Advances in Complex Analysis and its Applications book series (ACAA, volume 1)

Abstract

In this chapter we shall concentrate on the uniqueness questions of meromorphic functions on ℂ m . Mainly, we will extend some well-known uniqueness theorems on one complex variable to the analogue of several complex variables, say, the four-value theorem and the three-value theorem due to R. Nevanlinna [189], Rubel-Yang’s theorem [210], and some uniqueness results on unique range sets of meromorphic functions.

Keywords

Entire Function Distinct Element Nonzero Integer Transcendental Entire Function Differential Polynomial 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media Dordrecht 2003

Authors and Affiliations

  • Pei-Chu Hu
    • 1
  • Ping Li
    • 2
  • Chung-Chun Yang
    • 3
  1. 1.Department of MathematicsShandong UniversityJinan, ShandongChina
  2. 2.Department of MathematicsUniversity of Science and Technology of ChinaHefei, AnhuiChina
  3. 3.Department of MathematicsThe Hong Kong University of Science and TechnologyHong KongChina

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