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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=15/4





http://functions.wolfram.com/07.23.03.9891.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 15/4, -(7/2), -z] == (Sqrt[z] (1018368 z^7 + 56 (1 + Sqrt[1 + z]) - 29952 z^6 (-84 + 17 Sqrt[1 + z]) - 4 z (67 + 74 Sqrt[1 + z]) - 1248 z^5 (-1603 + 702 Sqrt[1 + z]) - 6 z^3 (901 + 1012 Sqrt[1 + z]) + z^2 (1096 + 1251 Sqrt[1 + z]) - 48 z^4 (-10354 + 7813 Sqrt[1 + z])))/ (112 Sqrt[2] (1 + z)^(3/2) 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