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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=19/4





http://functions.wolfram.com/07.23.03.a7r9.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 19/4, 9/2, z] == (1/(117380835 z^(7/2))) (8 ((1 + Sqrt[z])^(11/2) (3496 - 19228 Sqrt[z] + 78660 z - 245157 z^(3/2) + 721050 z^2 - 1903572 z^(5/2) + 5999136 z^3 - 10508784 z^(7/2) - 15691104 z^4 + 100488960 z^(9/2) - 179232768 z^5 + 158356224 z^(11/2) - 70946304 z^6 + 12899328 z^(13/2)) + (1 - Sqrt[z])^(11/2) (-3496 - 19228 Sqrt[z] - 78660 z - 245157 z^(3/2) - 721050 z^2 - 1903572 z^(5/2) - 5999136 z^3 - 10508784 z^(7/2) + 15691104 z^4 + 100488960 z^(9/2) + 179232768 z^5 + 158356224 z^(11/2) + 70946304 z^6 + 12899328 z^(13/2))))








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