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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=-47/8, b>=a > For fixed z and a=-47/8, b=-25/8





http://functions.wolfram.com/07.23.03.b4sb.01









  


  










Input Form





Hypergeometric2F1[-(47/8), -(25/8), 5/2, -z] == (16 (Sqrt[z] Sqrt[1 + z] (167555 + 758137974 z - 5726414163 z^2 + 8806828832 z^3 - 3043877107 z^4 + 77288190 z^5 + 3728675 z^6 + 150220 z^7) Cosh[ArcSinh[Sqrt[z]]/4] - (670220 + 46077625 z - 845704074 z^2 + 1439340263 z^3 + 1066528924 z^4 - 1188442633 z^5 + 79133750 z^6 + 3803785 z^7 + 150220 z^8) Sinh[ArcSinh[Sqrt[z]]/4]))/(11947740189 z^(3/2) 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