Introduction: What are Principal Functions?

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


The existence of certain harmonic functions with prescribed singularities and prescribed boundary behavior is central to a variety of areas of complex function theory. It provides the unifying factor for all the topics of this book. Such functions will be called principal functions. For further orientation let us consider how they are constructed and some of their uses.


Harmonic Function Riemann Surface Principal Function Ideal Boundary Extremal Length 


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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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