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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=15/8





http://functions.wolfram.com/07.23.03.b58o.01









  


  








Input Form





Hypergeometric2F1[-(47/8), 15/8, -(9/2), z] == (1/21504) (4 (5376 + 12992 z + 25883 z^2 + 51766 z^3 + 121220 z^4 + 538384 z^5 - 1384416 z^6) Cos[ArcSin[Sqrt[z]]/4] - (1/Sqrt[1 - z]) (Sqrt[z] (-5376 - 11312 z - 21109 z^2 - 41536 z^3 - 100320 z^4 - 4922368 z^5 + 5537664 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