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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=-39/8, b>=a > For fixed z and a=-39/8, b=47/8





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









  


  








Input Form





Hypergeometric2F1[-(39/8), 47/8, 9/2, -z] == (1/(494128953 z^(7/2))) (256 (Sqrt[z] (-80 + 649 z - 5386 z^2 + 2029257 z^3 + 13747868 z^4 + 35176752 z^5 + 43382016 z^6 + 26046720 z^7 + 6128640 z^8) Cosh[ArcSinh[Sqrt[z]]/4] - (1/Sqrt[1 + z]) ((-320 + 2376 z - 19733 z^2 + 381226 z^3 + 6367603 z^4 + 27302012 z^5 + 53994960 z^6 + 55639296 z^7 + 29111040 z^8 + 6128640 z^9) Sinh[ArcSinh[Sqrt[z]]/4])))








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