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单词 Weierstraß Sigma Function
释义

Weierstraß Sigma Function

The Quasiperiodic Function defined by

(1)

where is the Weierstraß Zeta Functionand
(2)

Then
(3)


(4)


(5)


(6)

for , 2, 3.
(7)

where , and
(8)


(9)


References

Abramowitz, M. and Stegun, C. A. (Eds.). ``Weierstrass Elliptic and Related Functions.'' Ch. 18 in Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover, pp. 627-671, 1972.


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