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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=-25/8, b>=a > For fixed z and a=-25/8, b=-13/8





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









  


  








Input Form





Hypergeometric2F1[-(25/8), -(13/8), -(5/2), -z] == (1/(192 (1 + z)^(7/8))) (4 (48 + 66 z - 20 z^2 - 39 z^3 + 13 z^4) Cos[(7 ArcTan[Sqrt[z]])/4] + 7 Sqrt[z] (48 + 99 z + 46 z^2 - 13 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