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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=-17/8, b>=a > For fixed z and a=-17/8, b=-5/8





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









  


  








Input Form





Hypergeometric2F1[-(17/8), -(5/8), 11/2, -z] == (1024 (2 Sqrt[z] (1568 + 15260 z + 71057 z^2 + 228858 z^3 + 1694030 z^4 - 1735868 z^5 + 124025 z^6 + 4510 z^7) Cos[(7 ArcTan[Sqrt[z]])/4] - (1792 + 16208 z + 69295 z^2 + 206453 z^3 + 829230 z^4 - 4678702 z^5 + 1415267 z^6 + 15785 z^7) Sin[(7 ArcTan[Sqrt[z]])/4]))/ (1667114735 z^(9/2) (1 + z)^(7/8))








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