Analytic Mappings

  • Burton Rodin
  • Leo Sario
Part of the The University Series in Higher Mathematics book series (USHM)


The main theorems on the distribution of values of meromorphic functions in the plane have counterparts in the more general setting of analytic mappings between Riemann surfaces. This chapter is devoted to the development of such a general value distribution theory. Principal functions, in particular the estimates I.1.2G to the Main Existence Theorem, provide an essential tool for this work.


Analytic Mapping Riemann Surface Meromorphic Function Admissible Function Principal Function 
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Copyright information

© D. Van Nostrand Company, Inc. 1968

Authors and Affiliations

  • Burton Rodin
    • 1
  • Leo Sario
    • 2
  1. 1.University of CaliforniaSan DiegoUSA
  2. 2.University of CaliforniaLos AngelesUSA

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