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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=-11/4





http://functions.wolfram.com/07.23.03.a8a8.01









  


  








Input Form





Hypergeometric2F1[-(21/4), -(11/4), 1/2, -z] == (Sqrt[z] (821 - 6792 z + 8022 z^2 - 1068 z^3 - 67 z^4 - 4 z^5 + (2 (-363 + 1837 z + 618 z^2 - 1566 z^3 + 17 z^4 + z^5))/Sqrt[1 + z]))/ (95 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