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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=3/8





http://functions.wolfram.com/07.23.03.bwk9.01









  


  








Input Form





Hypergeometric2F1[-(1/8), 3/8, 19/4, z] == (8 2^(3/4) (-308 (-1 + Sqrt[1 - z]) + 7 (-223 + 201 Sqrt[1 - z]) z - 5 (-655 + 522 Sqrt[1 - z]) z^2 + (3621 + 10471 Sqrt[1 - z]) z^3 - 5643 z^4))/(121923 (1 + Sqrt[1 - z])^(3/4) Sqrt[1 - z] z^3)








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