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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=3/4





http://functions.wolfram.com/07.23.03.9519.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 3/4, -(1/2), -z] == (1/(1326 Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z/(2 + 2 z)] (-44352 z^6 + 663 (1 + Sqrt[1 + z]) + 1008 z^5 (-223 + 22 Sqrt[1 + z]) + 280 z^4 (-1631 + 342 Sqrt[1 + z]) + z (-47531 + 36260 Sqrt[1 + z]) + z^2 (-236939 + 119359 Sqrt[1 + z]) + z^3 (-464993 + 157906 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