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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/07.23.03.9900.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 15/4, -(1/2), -z] == (1/(2 Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z/(2 + 2 z)] (1 - 7680 z^6 + Sqrt[1 + z] + 3840 z^5 (-7 + Sqrt[1 + z]) + 32 z^4 (-1117 + 330 Sqrt[1 + z]) + z (-589 + 503 Sqrt[1 + z]) + 16 z^3 (-1385 + 637 Sqrt[1 + z]) + z^2 (-6206 + 3976 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