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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/09.24.03.0025.01









  


  










Input Form





Derivative[0, 10][JacobiAmplitude][z, 0] == (5/4294967296) (-25942107537360 z - 32 z (1679120073855 - 385499383920 z^2 + 13025263104 z^4 - 88178688 z^6 + 65536 z^8) Cos[2 z] + 1728 z (-8261810235 + 4437323520 z^2 - 353282048 z^4 + 4456448 z^6) Cos[4 z] + 1296 z (-1908968285 + 1462728960 z^2 - 146506752 z^4 + 1327104 z^6) Cos[6 z] - 36288 z (8693825 - 7329280 z^2 + 622592 z^4) Cos[8 z] - 30240 z (993189 - 746800 z^2 + 32000 z^4) Cos[10 z] + 45360 z (-46253 + 24192 z^2) Cos[12 z] + 241920 z (-423 + 98 z^2) Cos[14 z] - 3129840 z Cos[16 z] - 45360 z Cos[18 z] + 864 (37672070835 - 40049795940 z^2 + 3212948480 z^4 - 48943104 z^6 + 131072 z^8) Sin[2 z] + 9 (700334220285 - 1539489047040 z^2 + 297656647680 z^4 - 9916383232 z^6 + 33554432 z^8) Sin[4 z] - 27216 (-33616995 + 105973040 z^2 - 28070400 z^4 + 995328 z^6) Sin[6 z] - 8064 (-13355685 + 48613140 z^2 - 12948480 z^4 + 262144 z^6) Sin[8 z] + 18144 (561453 - 2000900 z^2 + 400000 z^4) Sin[10 z] + 11340 (66917 - 197472 z^2 + 18432 z^4) Sin[12 z] - 544320 (-79 + 154 z^2) Sin[14 z] - 22680 (-77 + 64 z^2) Sin[16 z] + 45360 Sin[18 z] + 567 Sin[20 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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