Abstract
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.
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© 1985 Springer-Verlag Berlin Heidelberg
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Chandrasekharan, K. (1985). The theta-functions. In: Elliptic Functions. Grundlehren der mathematischen Wissenschaften, vol 281. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-52244-4_5
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DOI: https://doi.org/10.1007/978-3-642-52244-4_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-52246-8
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