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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=-7/8





http://functions.wolfram.com/07.23.03.b7mr.01









  


  








Input Form





Hypergeometric2F1[-(43/8), -(7/8), 5/2, -z] == (1/(23960365 z^(3/2) (1 + z)^(5/8))) (16 (Sqrt[z] (13545 + 1940275 z - 6610670 z^2 + 1582350 z^3 + 340725 z^4 + 94335 z^5 + 18640 z^6 + 1792 z^7) Cos[(5 ArcTan[Sqrt[z]])/4] - 2 (5418 + 176085 z - 2392780 z^2 + 2538470 z^3 + 224070 z^4 + 61149 z^5 + 11860 z^6 + 1120 z^7) 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