Amplitude: Specific values (formula 09.24.03.0028)

JacobiAmplitude

$Mathematica Notation$

Derivatives with respect to m

For m==1

http://functions.wolfram.com/09.24.03.0028.01

Input Form

Derivative[0, 3][JacobiAmplitude][z, 1] == (1/4096) Sech[z]^3 (1032 z - 96 z^3 + 16 z (75 + 2 z^2) Cosh[2 z] + 168 z Cosh[4 z] + 3 (-201 + 64 z^2) Sinh[2 z] - 12 (25 + 2 z^2) Sinh[4 z] + Sinh[6 z])

Standard Form

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MathML Form

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Rule Form

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Date Added to functions.wolfram.com (modification date)

2007-05-02