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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=7/4





http://functions.wolfram.com/07.23.03.9631.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 7/4, -(9/2), z] == (1/576) ((1/Sqrt[1 + Sqrt[z]]) (288 + 144 Sqrt[z] + 608 z + 340 z^(3/2) + 1110 z^2 + 649 z^(5/2) + 2072 z^3 + 1224 z^(7/2) + 4560 z^4 + 2640 z^(9/2) + 19008 z^5 - 27456 z^(11/2) - 54912 z^6) + (1/Sqrt[1 - Sqrt[z]]) (288 - 144 Sqrt[z] + 608 z - 340 z^(3/2) + 1110 z^2 - 649 z^(5/2) + 2072 z^3 - 1224 z^(7/2) + 4560 z^4 - 2640 z^(9/2) + 19008 z^5 + 27456 z^(11/2) - 54912 z^6))








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