Neville Theta Functions
المؤلف:
Neville, E. H.
المصدر:
Jacobi Elliptic Functions, 2nd ed. London: Oxford University Press, 1951.
الجزء والصفحة:
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30-9-2019
1894
Neville Theta Functions
The functions
where 
and 
are the Jacobi theta functions and 
is the complete elliptic integral of the first kind.
The Neville theta functions are implemented in the Wolfram Language as NevilleThetaC[z, m], NevilleThetaD[z, m], NevilleThetaN[z, m], and NevilleThetaS[z, m].
REFERENCES:
Abramowitz, M. and Stegun, I. A. (Eds.). "Neville's Notation for Theta Functions." §16.36 in Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover, pp. 578-579, 1972.
Neville, E. H. Jacobi Elliptic Functions, 2nd ed. London: Oxford University Press, 1951.
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