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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=1, b>=a > For fixed z and a=1, b=6





http://functions.wolfram.com/07.23.03.3325.01









  


  








Input Form





Hypergeometric2F1[1, 6, -(11/2), -z] == (1/(42240 (1 + z)^(25/2))) (Sqrt[1 + z] (42240 + z (552960 + z (3412480 + z (13358080 - z (-38333184 + z (-93856768 + z (-319673344 + 429 z (233715 + 2 z (27695 + 4 z (1501 + 2 z (111 + 8 z))))))))))) - 334639305 z^(13/2) 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