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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=-47/8, b>=a > For fixed z and a=-47/8, b=-41/8





http://functions.wolfram.com/07.23.03.b4n7.01









  


  








Input Form





Hypergeometric2F1[-(47/8), -(41/8), 5/2, -z] == (16 (Sqrt[z] Sqrt[1 + z] (6869755 + 54638715985 z - 672473381041 z^2 + 1983176737821 z^3 - 1842987285151 z^4 + 539929161315 z^5 - 38777090667 z^6 + 174872175 z^7) Cosh[ArcSinh[Sqrt[z]]/4] + (-27479020 - 2699813715 z + 81374794235 z^2 - 322604633071 z^3 + 140194079951 z^4 + 326076263143 z^5 - 198866024751 z^6 + 21728681883 z^7 - 174872175 z^8) Sinh[ArcSinh[Sqrt[z]]/4]))/ (863495768205 z^(3/2) 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