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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=11/8, b>=a > For fixed z and a=11/8, b=15/8





http://functions.wolfram.com/07.23.03.c38r.01









  


  








Input Form





Hypergeometric2F1[11/8, 15/8, -(1/2), -z] == ((4 + 33 z - 15 z^2) Cos[(3 ArcTan[Sqrt[z]])/4] + (3 - 41 z) Sqrt[z] Sin[(3 ArcTan[Sqrt[z]])/4])/(4 (1 + z)^(27/8))








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