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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=23/8





http://functions.wolfram.com/07.23.03.b5dk.01









  


  










Input Form





Hypergeometric2F1[-(47/8), 23/8, -(5/2), -z] == (1/(320 Sqrt[1 + z])) ((-Sqrt[1 + z]) (-320 + 2152 z - 13543 z^2 + 171000 z^3 + 1618096 z^4 + 3060288 z^5 + 1642752 z^6) Cosh[ArcSinh[Sqrt[z]]/4] + Sqrt[z] (-80 + 513 z - 3207 z^2 + 700184 z^3 + 2942896 z^4 + 3881664 z^5 + 1642752 z^6) 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