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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=-15/4, b>=a > For fixed z and a=-15/4, b=7/4





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









  


  








Input Form





Hypergeometric2F1[-(15/4), 7/4, 1/2, -z] == (1/(39 Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z/(2 + 2 z)] (212 + 672 z^4 - 173 Sqrt[1 + z] + z^2 (2678 - 868 Sqrt[1 + z]) + z (1322 - 709 Sqrt[1 + z]) - 112 z^3 (-20 + 3 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