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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=31/8





http://functions.wolfram.com/07.23.03.bto9.01









  


  








Input Form





Hypergeometric2F1[-(7/8), 31/8, -(7/2), -z] == (1/(29440 (1 + z)^(13/2))) ((-Sqrt[1 + z]) (-29440 - 149040 z - 271331 z^2 - 142025 z^3 + 246675 z^4 + 347893 z^5 + 179036 z^6 + 34320 z^7) Cosh[ArcSinh[Sqrt[z]]/4] + Sqrt[z] (-7360 - 39560 z - 78499 z^2 - 52325 z^3 + 400387 z^4 + 433121 z^5 + 196196 z^6 + 34320 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