The theta-functions

  • Komaravolu Chandrasekharan
Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 281)


The expansions, in infinite series, of the functions ℘(u), ζ(u), and σ(u), which we have so far considered, are not best suited to numerical computation. It is of advantage therefore to introduce another function, denoted by θ(υ, τ), which has a rapidly convergent expansion in infinite series, and which is directly connected with the σ-function of Weierstrass.


Entire Function Elliptic Function Infinite Series Transformation Formula Arbitrary Integer 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1985

Authors and Affiliations

  • Komaravolu Chandrasekharan
    • 1
  1. 1.Eidgenössische Technische Hochschule ZürichZürichSwitzerland

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