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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=-1/4, b>=a > For fixed z and a=-1/4, b=13/4





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









  


  










Input Form





Hypergeometric2F1[-(1/4), 13/4, 11/2, -z] == (16 Sqrt[2] (112 + 204 z + 55 z^2 - 17 z^3 + 24 z^4 + 40 z^5 - (112 + 260 z + 143 z^2 - 8 z^3 + 17 z^4 + 20 z^5)/Sqrt[1 + z]))/ (1045 z^(9/2) 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