Neville Theta Functions
المؤلف:
Abramowitz, M. and Stegun, I. A
المصدر:
Neville,s Notation for Theta Functions." §16.36 in Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover
الجزء والصفحة:
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25-11-2018
899
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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