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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=1





http://functions.wolfram.com/07.23.03.0298.01









  


  








Input Form





Hypergeometric2F1[1/8, 1, 9/8, z] == (1/(8 z^(1/8))) (Log[1 + z^(1/8)] - Log[1 - z^(1/8)] + 2 ArcTan[z^(1/8)] + Sqrt[2] ArcTan[1 - z^(1/4), Sqrt[2] z^(1/8)] + (1/Sqrt[2]) (Log[1 + Sqrt[2] z^(1/8) + z^(1/4)] - Log[1 - Sqrt[2] z^(1/8) + z^(1/4)]))








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)





2001-10-29