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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=27/8





http://functions.wolfram.com/07.23.03.bj9v.01









  


  








Input Form





Hypergeometric2F1[-(25/8), 27/8, 3/2, -z] == (1/(78793 Sqrt[z] (1 + z)^(7/8))) (4 ((-Sqrt[z]) (-17467 - 78999 z - 7840 z^2 + 189696 z^3 + 135168 z^4) Cos[(7 ArcTan[Sqrt[z]])/4] + (1275 + 60211 z + 316148 z^2 + 494592 z^3 + 236544 z^4) 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