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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=5, b>=a > For fixed z and a=5, b=5





http://functions.wolfram.com/07.23.03.4400.01









  


  








Input Form





Hypergeometric2F1[5, 5, -(11/2), -z] == (1/(540672 (1 + z)^(31/2))) (Sqrt[1 + z] (540672 + z (10567680 + z (103464960 + z (697384960 + z (3870146560 + z (21842903040 + z (228465950720 + z (-1000730967835 + 2 z (402011600985 + 4 z (-20359572385 + 750183626 z)))))))))) - 14549535 z^(13/2) (33915 + 32 z (-2261 + z (1197 + 4 (-42 + z) z))) ArcSinh[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