1985 | OriginalPaper | Buchkapitel
The theta-functions
verfasst von : Komaravolu Chandrasekharan
Erschienen in: Elliptic Functions
Verlag: Springer Berlin Heidelberg
Enthalten in: Professional Book Archive
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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.