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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=-3/4, b>=a > For fixed z and a=-3/4, b=19/4





http://functions.wolfram.com/07.23.03.agz1.01









  


  








Input Form





Hypergeometric2F1[-(3/4), 19/4, -(3/2), -z] == (Sqrt[z] (-96 z^6 + 22 (1 + Sqrt[1 + z]) + 16 z^5 (-32 + 3 Sqrt[1 + z]) + 11 z (6 + 5 Sqrt[1 + z]) + 10 z^4 (-109 + 22 Sqrt[1 + z]) + 4 z^2 (-128 + 73 Sqrt[1 + z]) + z^3 (-1134 + 383 Sqrt[1 + z])))/ (44 Sqrt[2] (1 + z)^(11/2) 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