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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=33/8, b>=a > For fixed z and a=33/8, b=39/8





http://functions.wolfram.com/07.23.03.cc4e.01









  


  








Input Form





Hypergeometric2F1[33/8, 39/8, -(1/2), z] == -((1/(242420 (1 - z)^(19/2))) (Sqrt[1 - z] (-242420 + 11939185 z + 155581668 z^2 + 243831094 z^3 + 65658856 z^4 + 1185665 z^5) Cos[ArcSin[Sqrt[z]]/4] + Sqrt[z] (-60605 + 167538293 z + 840076686 z^2 + 770728954 z^3 + 132347199 z^4 + 1185665 z^5) 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