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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=-37/8, b>=a > For fixed z and a=-37/8, b=-35/8





http://functions.wolfram.com/07.23.03.bb6b.01









  


  








Input Form





Hypergeometric2F1[-(37/8), -(35/8), -(9/2), z] == (1/(9216 Sqrt[1 - z])) ((-Sqrt[1 - z]) (-9216 + 44032 z - 83340 z^2 + 77619 z^3 - 34994 z^4 + 5643 z^5) Cos[(3 ArcSin[Sqrt[z]])/4] + Sqrt[z] (6912 - 34032 z + 66691 z^2 - 64769 z^3 + 30841 z^4 - 5643 z^5) Sin[(3 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