Complex Variable Analysis

  • Derek F. Lawden
Part of the Applied Mathematical Sciences book series (AMS, volume 80)


As remarked in section 2.2, the general definition of an elliptic function is that it is a doubly periodic function, all of whose singularities (except at infinity) are poles. In section 2.3, we commented on the existence of primitive periods characterized by the property that any period is expressible as the sum of multiples of these primitive periods; we also distinguished between primitive periods and fundamental periods, a fundamental period being defined to be such that no submultiple is a period. We shall commence this chapter by proving the existence of primitive periods.


Elliptic Function Multivalued Function Fourier Expansion Fundamental Period Jacobian Function 
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Copyright information

© Springer Science+Business Media New York 1989

Authors and Affiliations

  • Derek F. Lawden
    • 1
  1. 1.University of Aston in BirminghamBirminghamUK

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