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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=-11/4





http://functions.wolfram.com/07.23.03.9201.01









  


  










Input Form





Hypergeometric2F1[-(23/4), -(11/4), 2, -z] == (8 Sqrt[2] ((-Sqrt[1 + z]) (33649 - 3585933 z + 16182162 z^2 - 11863378 z^3 + 627165 z^4 + 46431 z^5 + 2464 z^6) EllipticE[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] - (33649 - 3552284 z + 12596229 z^2 + 4318784 z^3 - 11236213 z^4 + 673596 z^5 + 48895 z^6 + 2464 z^7) EllipticE[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] + (33649 - 153735 z - 13233006 z^2 + 36091058 z^3 - 15348795 z^4 + 11781 z^5 + 616 z^6) EllipticK[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] + Sqrt[1 + z] (33649 - 3585933 z + 16182162 z^2 - 11863378 z^3 + 627165 z^4 + 46431 z^5 + 2464 z^6) EllipticK[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])]))/ (13627845 Pi z Sqrt[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