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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=6, b>=a > For fixed z and a=6, b=6





http://functions.wolfram.com/07.23.03.4509.01









  


  








Input Form





Hypergeometric2F1[6, 6, -(11/2), -z] == (Sqrt[1 + z] (10813440 + z (254607360 + z (3059220480 + z (25878855680 + z (185228591104 + z (1393947312128 + z (20217417170944 + z (-138311350080655 + 4 z (48398906381455 + z (-21124191140989 + 8 (345961173494 - 9011219423 z) z)))))))))) + 334639305 z^(13/2) (-156009 + 2 z (260015 + 16 z (-15295 + 4830 z - 460 z^2 + 8 z^3))) ArcSinh[Sqrt[z]])/(10813440 (1 + z)^(35/2))








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