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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 4 and fixed z > For fixed z and a=-7/4, b>=a > For fixed z and a=-7/4, b=7/4





http://functions.wolfram.com/07.23.03.af2b.01









  


  








Input Form





Hypergeometric2F1[-(7/4), 7/4, 9/2, -z] == (8 Sqrt[2] (40 + 152 z + 173 z^2 - 70 z^3 - 71 z^4 - 20 z^5 + (4 (-10 - 43 z - 61 z^2 + 61 z^4 + 43 z^5 + 10 z^6))/Sqrt[1 + z]))/ (1989 z^(7/2) Sqrt[-1 + Sqrt[1 + z]])








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