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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.b5dp.01









  


  










Input Form





Hypergeometric2F1[-(47/8), 23/8, -(1/2), z] == (1/140) ((140 + 4725 z - 96297 z^2 + 428840 z^3 - 771696 z^4 + 616768 z^5 - 182528 z^6) Cos[ArcSin[Sqrt[z]]/4] - (1/Sqrt[1 - z]) (Sqrt[z] (-35 - 28398 z + 245673 z^2 - 749000 z^3 + 1057264 z^4 - 708032 z^5 + 182528 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