2005/06/14 | Jacobi恒等式[Jacobi Identities]
类别(∑〖数学〗) | 评论(0) | 阅读(109) | 发表于 20:16
"The" Jacobi identity is a relationship
(1)

between three elements A, B, and C, where [A, B] is the commutator. The elements of a Lie algebra satisfy this identity.
Relationships between the Q-functions are also known as Jacobi identities:
(2)

equivalent to the Jacobi triple product (Borwein and Borwein 1987, p. 65) and
(3)

where
(4)

is the complete elliptic integral of the first kind, and . Using Weber functions
(5)

(6)

(7)

(5) and (6) become
(8)

(9)

(Borwein and Borwein 1987, p. 69).
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