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JacobiAmplitude






Mathematica Notation

Traditional Notation









Elliptic Functions > JacobiAmplitude[z,m] > Specific values > Specialized values > Derivatives with respect to m > For m==1





http://functions.wolfram.com/09.24.03.0030.01









  


  










Input Form





Derivative[0, 5][JacobiAmplitude][z, 1] == (-(1/1048576)) Sech[z]^5 (-2555580 z + 127200 z^3 - 14720 z^5 + 8 z (-457725 + 9360 z^2 + 1216 z^4) Cosh[2 z] - 16 z (78525 + 3510 z^2 + 8 z^4) Cosh[4 z] - 120 z (1237 + 32 z^2) Cosh[6 z] + 1740 z Cosh[8 z] + 40 (30099 - 3789 z^2 + 1780 z^4) Sinh[2 z] - 10 (-95697 + 2304 z^2 + 256 z^4) Sinh[4 z] + 5 (46743 + 6936 z^2 + 32 z^4) Sinh[6 z] - 45 (49 + 8 z^2) Sinh[8 z] + 3 Sinh[10 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





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