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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 8 and fixed z and a<0 > For fixed z and a=-37/8, b>=a > For fixed z and a=-37/8, b=-3/8





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









  


  










Input Form





Hypergeometric2F1[-(37/8), -(3/8), 11/2, -z] == (1024 ((-Sqrt[z]) Sqrt[1 + z] (-1442112 - 18223832 z - 114123207 z^2 - 517502535 z^3 - 6350777026 z^4 + 5731968138 z^5 + 586186533 z^6 + 116621845 z^7 + 17582580 z^8 + 1334736 z^9) Cosh[(3 ArcSinh[Sqrt[z]])/4] + (-1922816 - 25940848 z - 172854935 z^2 - 819199018 z^3 - 4560384125 z^4 + 1587456464 z^5 + 6011530447 z^6 + 642383054 z^7 + 125246293 z^8 + 18249948 z^9 + 1334736 z^10) Sinh[(3 ArcSinh[Sqrt[z]])/4]))/(3449870959535 z^(9/2) 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