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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=-13/8, b>=a > For fixed z and a=-13/8, b=45/8





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









  


  








Input Form





Hypergeometric2F1[-(13/8), 45/8, 7/2, z] == (1/(413105 z^(5/2))) (64 (4 Sqrt[z] (3 + 26 z + 1948 z^2 - 7056 z^3 + 5600 z^4) Cos[(3 ArcSin[Sqrt[z]])/4] + ((-16 - 125 z - 1664 z^2 + 19104 z^3 - 39424 z^4 + 22400 z^5) Sin[(3 ArcSin[Sqrt[z]])/4])/Sqrt[1 - 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