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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=37/8





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









  


  








Input Form





Hypergeometric2F1[-(13/8), 37/8, 9/2, z] == (1/(10005435 z^(7/2))) (256 (Sqrt[z] (240 + 571 z + 1665 z^2 + 49752 z^3 - 121584 z^4 + 68544 z^5) Cos[(3 ArcSin[Sqrt[z]])/4] + (1/Sqrt[1 - z]) ((-320 - 488 z - 1559 z^2 - 12297 z^3 + 101976 z^4 - 155856 z^5 + 68544 z^6) 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