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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=-19/4, b>=a > For fixed z and a=-19/4, b=19/4





http://functions.wolfram.com/07.23.03.a9tc.01









  


  








Input Form





Hypergeometric2F1[-(19/4), 19/4, 11/2, z] == (1/(13042315 z^(9/2))) (16 ((1 + Sqrt[z])^(11/2) (2128 - 11704 Sqrt[z] + 39444 z - 102828 z^(3/2) + 230109 z^2 - 462726 z^(5/2) + 867768 z^3 - 1544928 z^(7/2) + 2738736 z^4 - 4489056 z^(9/2) + 5518656 z^5 - 4313088 z^(11/2) + 1867008 z^6 - 339456 z^(13/2)) - (1 - Sqrt[z])^(11/2) (2128 + 11704 Sqrt[z] + 39444 z + 102828 z^(3/2) + 230109 z^2 + 462726 z^(5/2) + 867768 z^3 + 1544928 z^(7/2) + 2738736 z^4 + 4489056 z^(9/2) + 5518656 z^5 + 4313088 z^(11/2) + 1867008 z^6 + 339456 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