JacobiTheta1 - The Jacobi theta function theta1
JacobiTheta2 - The Jacobi theta function theta2
JacobiTheta3 - The Jacobi theta function theta3
JacobiTheta4 - The Jacobi theta function theta4
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Calling Sequence
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JacobiTheta1(z, q)
JacobiTheta2(z, q)
JacobiTheta3(z, q)
JacobiTheta4(z, q)
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Parameters
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z
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algebraic expression (the parameter)
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q
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algebraic expression (the nome) such that
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Description
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The Jacobi theta functions JacobiTheta1, JacobiTheta2, JacobiTheta3, JacobiTheta4 are defined by:
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These series converge very fast for . See Chapter 16, "Jacobian Elliptic Functions and Theta Functions" of Handbook of Mathematical Functions edited by Abramowitz and Stegun for more extensive information.
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Examples
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>
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| (4) |
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