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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=-31/8, b>=a > For fixed z and a=-31/8, b=23/8





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









  


  








Input Form





Hypergeometric2F1[-(31/8), 23/8, 11/2, -z] == (1024 (Sqrt[z] Sqrt[1 + z] (319424 + 1192136 z + 973245 z^2 - 713713 z^3 + 25381759 z^4 + 56239469 z^5 + 51705368 z^6 + 22822800 z^7 + 3999424 z^8) Cosh[ArcSinh[Sqrt[z]]/4] - (1277696 + 5646960 z + 7066543 z^2 - 519064 z^3 + 7396662 z^4 + 48308520 z^5 + 79489267 z^6 + 62616840 z^7 + 24822512 z^8 + 3999424 z^9) Sinh[ArcSinh[Sqrt[z]]/4]))/ (23553480093 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