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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.b5dj.01









  


  








Input Form





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