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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=-7/8, b>=a > For fixed z and a=-7/8, b=-1/8





http://functions.wolfram.com/07.23.03.bt4g.01









  


  








Input Form





Hypergeometric2F1[-(7/8), -(1/8), 11/2, -z] == -((1/(376078989 z^(9/2) Sqrt[1 + z])) (1024 (Sqrt[z] Sqrt[1 + z] (-448 - 3112 z - 9627 z^2 - 18497 z^3 - 403089 z^4 + 13949 z^5) Cosh[ArcSinh[Sqrt[z]]/4] + (1792 + 13680 z + 46919 z^2 + 99512 z^3 + 191454 z^4 + 113024 z^5 - 13949 z^6) 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