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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=5/4





http://functions.wolfram.com/07.23.03.9594.01









  


  










Input Form





Hypergeometric2F1[-(23/4), 5/4, 2, z] == (1/(4542615 Pi z)) (8 (-2 Sqrt[1 - z] (168245 - 1585989 z + 4381659 z^2 - 6131371 z^3 + 4738176 z^4 - 1935360 z^5 + 327680 z^6) EllipticE[(1/2) (1 - Sqrt[1 - z])] + (168245 - 576519 z + 1407087 z^2 - 1809997 z^3 + 1310064 z^4 - 506880 z^5 + 81920 z^6) EllipticK[(1/2) (1 - Sqrt[1 - z])] + Sqrt[1 - z] (168245 - 1585989 z + 4381659 z^2 - 6131371 z^3 + 4738176 z^4 - 1935360 z^5 + 327680 z^6) EllipticK[(1/2) (1 - Sqrt[1 - 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