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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=-23/4, b>=a > For fixed z and a=-23/4, b=7/4





http://functions.wolfram.com/07.23.03.9638.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 7/4, -(5/2), -z] == (1/(120 Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z/(2 + 2 z)] (-128128 z^6 + 60 (1 + Sqrt[1 + z]) + 4928 z^5 (-68 + 13 Sqrt[1 + z]) - 3 z (73 + 83 Sqrt[1 + z]) + 56 z^3 (-1354 + 1007 Sqrt[1 + z]) + 112 z^4 (-2536 + 1067 Sqrt[1 + z]) + z^2 (953 + 1085 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