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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=-7/4, b>=a > For fixed z and a=-7/4, b=19/4





http://functions.wolfram.com/07.23.03.afd8.01









  


  








Input Form





Hypergeometric2F1[-(7/4), 19/4, 1/2, -z] == (Sqrt[z] (359 + 2112 z^4 - 304 Sqrt[1 + z] + z (2843 - 1646 Sqrt[1 + z]) - 48 z^3 (-133 + 22 Sqrt[1 + z]) - 40 z^2 (-169 + 60 Sqrt[1 + z])))/ (55 Sqrt[2] (1 + z)^(5/2) 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