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variants of this functions
Hypergeometric2F1






Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Specific values > For rational parameters with denominators 4 and fixed z > For fixed z and a=-17/4, b>=a > For fixed z and a=-17/4, b=13/4





http://functions.wolfram.com/07.23.03.aar7.01









  


  










Input Form





Hypergeometric2F1[-(17/4), 13/4, 3, z] == (1/(5221125 Pi Sqrt[1 + Sqrt[z]] z^2)) (64 (4 (-221 - 221 Sqrt[z] - 1768 z - 1768 z^(3/2) + 96855 z^2 + 96855 z^(5/2) - 376670 z^3 - 376670 z^(7/2) + 566300 z^4 + 566300 z^(9/2) - 380688 z^5 - 380688 z^(11/2) + 96096 z^6 + 96096 z^(13/2)) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] - (-884 - 6851 z + 226090 z^2 - 821195 z^3 + 1188040 z^4 - 777392 z^5 + 192192 z^6) EllipticK[(2 Sqrt[z])/(1 + Sqrt[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