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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.bir6.01









  


  








Input Form





Hypergeometric2F1[-(25/8), -(13/8), -(7/2), -z] == (1/(1792 (1 + z)^(7/8))) ((1792 + 1424 z - 985 z^2 - 481 z^3 + 52 z^4) Cos[(7 ArcTan[Sqrt[z]])/4] + 7 Sqrt[z] (448 + 664 z + 191 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