Elliptic Functions

Raymond O. Wells ()
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Raymond O. Wells: University of Colorado Boulder

Chapter Chapter 8 in Differential and Complex Geometry: Origins, Abstractions and Embeddings, 2017, pp 97-112 from Springer

Abstract: Abstract The classical single-valued trigonometric functions could be viewed as the inverses of specific integrals of algebraic functions of degree two. Abel and Jacobi created the theory of elliptic functions of a complex variable which were inverses of elliptic integrals, and these turned out to be doublyperiodic functions on the complex plane with specific kinds of singularities. These functions became models for the general theory of meromorphic functions in the late nineteenth century.

Date: 2017
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DOI: 10.1007/978-3-319-58184-2_8

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