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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=-5/8, b>=a > For fixed z and a=-5/8, b=5/8





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









  


  








Input Form





Hypergeometric2F1[-(5/8), 5/8, -(7/2), -z] == (1/(1792 (1 + z)^(7/2))) ((-Sqrt[1 + z]) (-1792 - 5680 z - 6063 z^2 - 2093 z^3 + 322 z^4) Cosh[(3 ArcSinh[Sqrt[z]])/4] + 2 Sqrt[z] (-672 - 2228 z - 2523 z^2 - 966 z^3 + 161 z^4) Sinh[(3 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