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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=-43/8, b>=a > For fixed z and a=-43/8, b=25/8





http://functions.wolfram.com/07.23.03.b80e.01









  


  








Input Form





Hypergeometric2F1[-(43/8), 25/8, -(3/2), -z] == (1/(18768 (1 + z)^(5/8))) ((-(-18768 + 213095 z - 3825935 z^2 + 8277920 z^3 + 139912960 z^4 + 267677696 z^5 + 140574720 z^6)) Cos[(5 ArcTan[Sqrt[z]])/4] + 2 Sqrt[z] (11730 - 130985 z + 22933112 z^2 + 119225920 z^3 + 183772160 z^4 + 87859200 z^5) Sin[(5 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