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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=-3/4





http://functions.wolfram.com/07.23.03.a8f1.01









  


  








Input Form





Hypergeometric2F1[-(21/4), -(3/4), 5/2, -z] == (2 Sqrt[2] (-442 - 13481 z + 121876 z^2 - 58854 z^3 - 14046 z^4 - 4057 z^5 - 820 z^6 - 80 z^7 + (2 (221 + 6851 z - 30556 z^2 - 34318 z^3 + 3741 z^4 + 1063 z^5 + 210 z^6 + 20 z^7))/Sqrt[1 + z]))/ (216315 z^(3/2) 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