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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=-5/4, b>=a > For fixed z and a=-5/4, b=-3/4





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









  


  










Input Form





Hypergeometric2F1[-(5/4), -(3/4), 9/2, -z] == -((8 Sqrt[2] (40 (-1 + Sqrt[1 + z]) + 4 z (-87 + 82 Sqrt[1 + z]) + z^5 (3326 + 663 Sqrt[1 + z]) + 7 z^3 (-886 + 795 Sqrt[1 + z]) + z^2 (-1510 + 1351 Sqrt[1 + z]) - z^4 (1674 + 9619 Sqrt[1 + z])))/ (138567 z^(7/2) 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