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





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









  


  










Input Form





Hypergeometric2F1[19/4, 21/4, 5/2, -z] == -((2 Sqrt[2] (2 - 2 Sqrt[1 + z] + z^3 (784 - 301 Sqrt[1 + z]) + z (64 - 63 Sqrt[1 + z]) + 35 z^2 (-20 + 13 Sqrt[1 + z]) + z^4 (-118 + 15 Sqrt[1 + z])))/(1105 z^(3/2) (1 + z)^(15/2) 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