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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=3/4





http://functions.wolfram.com/07.23.03.agk9.01









  


  








Input Form





Hypergeometric2F1[-(3/4), 3/4, 7/2, -z] == -((4 Sqrt[2] (-14 z^4 + 7 z^3 (-11 + Sqrt[1 + z]) + 12 (-1 + Sqrt[1 + z]) + 2 z^2 (-52 + 41 Sqrt[1 + z]) + z (-53 + 47 Sqrt[1 + z])))/ (273 z^(5/2) Sqrt[1 + z] 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