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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=5/8





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









  


  










Input Form





Hypergeometric2F1[1/8, 5/8, 11/2, z] == (1/(447051 z^(9/2))) (512 ((1 + Sqrt[z])^(19/4) (256 - 1216 Sqrt[z] + 2256 z - 1976 z^(3/2) + 713 z^2) - (1 - Sqrt[z])^(19/4) (256 + 1216 Sqrt[z] + 2256 z + 1976 z^(3/2) + 713 z^2)))










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