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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=-23/4, b>=a > For fixed z and a=-23/4, b=-9/4





http://functions.wolfram.com/07.23.03.9252.01









  


  










Input Form





Hypergeometric2F1[-(23/4), -(9/4), 2, z] == (1/(59053995 Pi z)) (8 Sqrt[1 + Sqrt[z]] ((168245 + 26472783 z + 123133422 z^2 + 84632334 z^3 + 529425 z^4 - 59085 z^5 + 3900 z^6) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] + (-168245 + 168245 Sqrt[z] - 11835468 z + 11835468 z^(3/2) - 35605638 z^2 + 35605638 z^(5/2) - 11981580 z^3 + 11981580 z^(7/2) + 975195 z^4 - 975195 z^(9/2) - 112320 z^5 + 112320 z^(11/2) + 7800 z^6 - 7800 z^(13/2)) 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