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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=1/4





http://functions.wolfram.com/07.23.03.a8gz.01









  


  








Input Form





Hypergeometric2F1[-(21/4), 1/4, -(5/2), -z] == (Sqrt[z] (20 - 13 z + 21 z^2 - 550 z^3 - 1040 z^4 - 480 z^5 + (20 - 3 z + 12 z^2 + 375 z^3 + 580 z^4 + 240 z^5)/Sqrt[1 + z]))/ (40 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