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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.bt3z.01









  


  










Input Form





Hypergeometric2F1[-(7/8), -(1/8), -(3/2), -z] == (Sqrt[1 + z] (48 + 5 z) Cosh[ArcSinh[Sqrt[z]]/4] - Sqrt[z] (12 + 5 z) Sinh[ArcSinh[Sqrt[z]]/4])/(48 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