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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/07.23.03.9335.01









  


  








Input Form





Hypergeometric2F1[-(23/4), -(5/4), -(1/2), -z] == (1/(1326 Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z/(2 + 2 z)] (-560 z^6 + 663 (1 + Sqrt[1 + z]) + 20 z^5 (-213 + 14 Sqrt[1 + z]) + 7 z^2 (-7428 + 1523 Sqrt[1 + z]) + z^4 (-14459 + 1920 Sqrt[1 + z]) + z^3 (-29810 + 5807 Sqrt[1 + z]) + z (-32282 + 51509 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