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EllipticTheta

Usage

EllipticTheta[a, u, q]用来给出塞塔函数 ( ).


Notes

• 数学函数(参见A.3.10节).
 ,  ,  ,  .
• 参见3.2.11节对椭圆函数及相关函数参数约定的讨论.
• 参见Mathematica 全书: 3.2.11节.
Further Examples

The third argument of EllipticTheta should be a complex number with absolute value less than 1. This argument is the nome corresponding to the modulus employed by most other elliptic functions. See EllipticNomeQ.

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The Jacobi elliptic functions (sn and friends) are often expressed in terms of theta functions, which can be computed very efficiently.

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This is the derivative.

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