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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=37/8





http://functions.wolfram.com/07.23.03.btt3.01









  


  








Input Form





Hypergeometric2F1[-(7/8), 37/8, 9/2, -z] == (1/(2127411 z^(7/2) (1 + z)^(1/8))) (256 (Sqrt[z] (-16 + 35 z - 84 z^2 + 8704 z^3 + 9216 z^4) Cos[ArcTan[Sqrt[z]]/4] + (64 - 120 z + 287 z^2 - 1456 z^3 - 2304 z^4) 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