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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/07.23.03.9888.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 15/4, -(9/2), -z] == (Sqrt[z] (-1697280 z^8 + 336 (1 + Sqrt[1 + z]) + 49920 z^7 (-95 + 17 Sqrt[1 + z]) - 28 z (29 + 35 Sqrt[1 + z]) + 330 z^4 (57 + 68 Sqrt[1 + z]) - 11 z^3 (467 + 591 Sqrt[1 + z]) + 1248 z^6 (-3471 + 1390 Sqrt[1 + z]) + z^2 (1909 + 2441 Sqrt[1 + z]) + 48 z^5 (-26207 + 19123 Sqrt[1 + z])))/(672 Sqrt[2] (1 + z)^(5/2) 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