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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=15/8





http://functions.wolfram.com/07.23.03.b597.01









  


  








Input Form





Hypergeometric2F1[-(47/8), 15/8, 3/2, -z] == (1/9625077) (4 (4 (628795 + 4909640 z + 14473899 z^2 + 21767834 z^3 + 17953100 z^4 + 7768112 z^5 + 1384416 z^6) Cosh[ArcSinh[Sqrt[z]]/4] - (1/(Sqrt[z] Sqrt[1 + z])) ((435643 + 8470369 z + 41128369 z^2 + 94180427 z^3 + 119439584 z^4 + 86656416 z^5 + 33841280 z^6 + 5537664 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