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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=-9/8, b>=a > For fixed z and a=-9/8, b=43/8





http://functions.wolfram.com/07.23.03.bsx9.01









  


  








Input Form





Hypergeometric2F1[-(9/8), 43/8, 1/2, -z] == (1/(3135 (1 + z)^(23/8))) ((3135 + 29961 z + 5600 z^2 - 66304 z^3 - 45056 z^4) Cos[(7 ArcTan[Sqrt[z]])/4] + 2 Sqrt[z] (6219 + 51926 z + 85120 z^2 + 39424 z^3) 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