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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=-5/4





http://functions.wolfram.com/07.23.03.9353.01









  


  








Input Form





Hypergeometric2F1[-(23/4), -(5/4), 9/2, -z] == (8 Sqrt[2] (-4 (230 + 4071 z + 42182 z^2 + 559130 z^3 - 3879411 z^4 + 2770537 z^5 + 49384 z^6 + 8208 z^7 + 1055 z^8 + 70 z^9) + (1/Sqrt[1 + z]) (920 + 16744 z + 176755 z^2 + 2318906 z^3 - 7083191 z^4 - 5912896 z^5 + 3708421 z^6 + 443810 z^7 + 71959 z^8 + 8860 z^9 + 560 z^10)))/(117380835 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