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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=-7/4





http://functions.wolfram.com/07.23.03.9289.01









  


  










Input Form





Hypergeometric2F1[-(23/4), -(7/4), 2, -z] == (1/(4542615 Pi z Sqrt[1 + Sqrt[1 + z]])) (8 Sqrt[2] (Sqrt[1 + z] (-15295 + 1094364 z - 2766258 z^2 + 430108 z^3 + 73017 z^4 + 11088 z^5 + 896 z^6) EllipticE[(-1 + Sqrt[1 + z])/ (1 + Sqrt[1 + z])] + (-15295 + 1079069 z - 1671894 z^2 - 2336150 z^3 + 503125 z^4 + 84105 z^5 + 11984 z^6 + 896 z^7) EllipticE[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] - (-15295 - 52761 z + 3698370 z^2 - 4734170 z^3 + 19005 z^4 + 2835 z^5 + 224 z^6) EllipticK[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] - Sqrt[1 + z] (-15295 + 1094364 z - 2766258 z^2 + 430108 z^3 + 73017 z^4 + 11088 z^5 + 896 z^6) EllipticK[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])]))










Standard Form





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Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02