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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=-15/8, b>=a > For fixed z and a=-15/8, b=31/8





http://functions.wolfram.com/07.23.03.bp6r.01









  


  








Input Form





Hypergeometric2F1[-(15/8), 31/8, 11/2, -z] == (1/(10541751 z^(9/2))) (1024 (2 Sqrt[z] (-224 - 220 z + 127 z^2 - 162 z^3 + 5731 z^4 + 8624 z^5 + 3344 z^6) Cosh[ArcSinh[Sqrt[z]]/4] - (1/Sqrt[1 + z]) ((-1792 - 2992 z - 47 z^2 - 524 z^3 + 3669 z^4 + 19250 z^5 + 20592 z^6 + 6688 z^7) 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