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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=23/4





http://functions.wolfram.com/07.23.03.a7uc.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 23/4, -(1/2), -z] == (1/(2 Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z/(2 + 2 z)] (1 - 43008 z^6 + Sqrt[1 + z] + 1024 z^5 (-124 + 21 Sqrt[1 + z]) + 1280 z^4 (-109 + 37 Sqrt[1 + z]) + 256 z^3 (-272 + 139 Sqrt[1 + z]) + 56 z^2 (-271 + 186 Sqrt[1 + z]) + 4 z (-268 + 235 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