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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=-7/8, b>=a > For fixed z and a=-7/8, b=21/8





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









  


  








Input Form





Hypergeometric2F1[-(7/8), 21/8, 11/2, -z] == (1/(1752465 z^(9/2) (1 + z)^(1/8))) (1024 (4 Sqrt[z] (112 + 298 z + 189 z^2 - 49 z^3 + 474 z^4 + 240 z^5) Cos[ArcTan[Sqrt[z]]/4] - (1792 + 5328 z + 4367 z^2 - 154 z^3 + 399 z^4 + 240 z^5) Sin[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