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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=-1/8, b>=a > For fixed z and a=-1/8, b=11/8





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









  


  








Input Form





Hypergeometric2F1[-(1/8), 11/8, 3/2, -z] == (4 (-2 Sqrt[z] (-1 + 2 z) Cos[(7 ArcTan[Sqrt[z]])/4] + (1 + 7 z) Sin[(7 ArcTan[Sqrt[z]])/4]))/(15 Sqrt[z] (1 + z)^(7/8))








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