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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=-9/4





http://functions.wolfram.com/07.23.03.9231.01









  


  








Input Form





Hypergeometric2F1[-(23/4), -(9/4), -(11/2), -z] == (1/(4928 Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z/(2 + 2 z)] (-40 z^6 + 2464 (1 + Sqrt[1 + z]) + 4 z^5 (11 + 5 Sqrt[1 + z]) - z^4 (144 + 37 Sqrt[1 + z]) + 112 z (60 + 49 Sqrt[1 + z]) + 42 z^2 (135 + 77 Sqrt[1 + z]) + z^3 (1186 + 101 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