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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==0





http://functions.wolfram.com/09.24.03.0023.01









  


  










Input Form





Derivative[0, 8][JacobiAmplitude][z, 0] == (1/134217728) (-60474299760 z + 64 z (-1822886415 + 357215040 z^2 - 8096256 z^4 + 16384 z^6) Cos[2 z] - 1344 z (20225565 - 8302080 z^2 + 335872 z^4) Cos[4 z] - 72576 z (54545 - 26960 z^2 + 768 z^4) Cos[6 z] + 6720 z (-58671 + 24064 z^2) Cos[8 z] + 53760 z (-489 + 100 z^2) Cos[10 z] - 1068480 z Cos[12 z] - 20160 z Cos[14 z] - 448 (-163063575 + 157888080 z^2 - 9841920 z^4 + 77824 z^6) Sin[2 z] - 224 (-57287025 + 105953040 z^2 - 13486080 z^4 + 131072 z^6) Sin[4 z] + 120960 (13573 - 32100 z^2 + 4224 z^4) Sin[6 z] + 1680 (96087 - 221376 z^2 + 16384 z^4) Sin[8 z] - 80640 (-147 + 250 z^2) Sin[10 z] - 10080 (-61 + 48 z^2) Sin[12 z] + 20160 Sin[14 z] + 315 Sin[16 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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