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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=-21/4, b>=a > For fixed z and a=-21/4, b=-19/4





http://functions.wolfram.com/07.23.03.a85x.01









  


  










Input Form





Hypergeometric2F1[-(21/4), -(19/4), -(1/2), -z] == (Sqrt[z] (1 + 615 z - 3486 z^2 + 3750 z^3 - 835 z^4 + 19 z^5 + (1 - 515 z + 1626 z^2 + 618 z^3 - 1355 z^4 + 169 z^5)/Sqrt[1 + z]))/ (2 Sqrt[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