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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=-15/8, b>=a > For fixed z and a=-15/8, b=15/8





http://functions.wolfram.com/07.23.03.bov1.01









  


  








Input Form





Hypergeometric2F1[-(15/8), 15/8, -(11/2), z] == -((1/(135168 (1 - z)^(11/2))) (Sqrt[1 - z] (-135168 + 593664 z - 960864 z^2 + 633731 z^3 - 71630 z^4 - 41093 z^5 - 63336 z^6 + 33176 z^7) Cos[ArcSin[Sqrt[z]]/4] + 4 Sqrt[z] (-8448 + 39744 z - 70527 z^2 + 54101 z^3 - 11310 z^4 - 3393 z^5 - 19981 z^6 + 8294 z^7) 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