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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.bto1.01









  


  








Input Form





Hypergeometric2F1[-(7/8), 31/8, -(11/2), -z] == (1/(3108864 (1 + z)^(17/2))) ((-Sqrt[1 + z]) (-3108864 - 23051520 z - 72271520 z^2 - 121331969 z^3 - 108996448 z^4 - 31441046 z^5 + 44915780 z^6 + 43451135 z^7 + 16571412 z^8 + 2455024 z^9) Cosh[ArcSinh[Sqrt[z]]/4] + Sqrt[z] (-777216 - 6005760 z - 19765556 z^2 - 35273973 z^3 - 34734048 z^4 - 13474734 z^5 + 64723360 z^6 + 51429963 z^7 + 17798924 z^8 + 2455024 z^9) 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