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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=15/4





http://functions.wolfram.com/07.23.03.agv8.01









  


  








Input Form





Hypergeometric2F1[-(3/4), 15/4, -(1/2), -z] == (Sqrt[z] (-560 z^4 + 77 (1 + Sqrt[1 + z]) + 20 z^3 (-97 + 14 Sqrt[1 + z]) + z (-1002 + 617 Sqrt[1 + z]) + z^2 (-2339 + 760 Sqrt[1 + z])))/ (154 Sqrt[2] (1 + z)^(7/2) 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