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variants of this functions
Hypergeometric2F1




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Specific values > For integer and half-integer parameters and fixed z > For fixed z and a=4, b>=a > For fixed z and a=4, b=5





http://functions.wolfram.com/07.23.03.4253.01









  


  








Input Form





Hypergeometric2F1[4, 5, -(11/2), z] == (1/(67584 (-1 + z)^15)) ((-1 + z) (67584 + z (-1191936 + z (10409984 + z (-61710336 + z (295880704 + z (-1410748416 + z (12128671744 + z (40009277039 + 2 z (10966073777 + 4 z (297494293 + 1385670 z)))))))))) - 14549535 Sqrt[1 - z] z^(13/2) (1615 + 8 z (323 + 2 z (57 + 4 z))) ArcSin[Sqrt[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