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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=47/8





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









  


  








Input Form





Hypergeometric2F1[-(15/8), 47/8, 3/2, z] == (1/(9269 (-1 + z)^2)) (4 (4 (599 - 5970 z + 16780 z^2 - 18032 z^3 + 6624 z^4) Cos[ArcSin[Sqrt[z]]/4] + ((-315 + 9419 z - 50080 z^2 + 99872 z^3 - 85376 z^4 + 26496 z^5) Sin[ArcSin[Sqrt[z]]/4])/Sqrt[(-(-1 + z)) z]))








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