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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=-41/8, b>=a > For fixed z and a=-41/8, b=-5/8





http://functions.wolfram.com/07.23.03.b8wn.01









  


  








Input Form





Hypergeometric2F1[-(41/8), -(5/8), 5/2, -z] == (1/(15525237 z^(3/2) (1 + z)^(7/8))) (16 (Sqrt[z] (15785 + 1415267 z - 4678702 z^2 + 829230 z^3 + 206453 z^4 + 69295 z^5 + 16208 z^6 + 1792 z^7) Cos[(7 ArcTan[Sqrt[z]])/4] - 2 (4510 + 124025 z - 1735868 z^2 + 1694030 z^3 + 228858 z^4 + 71057 z^5 + 15260 z^6 + 1568 z^7) Sin[(7 ArcTan[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