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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=6





http://functions.wolfram.com/07.23.03.4450.01









  


  








Input Form





Hypergeometric2F1[5, 6, -(7/2), -z] == (1/(229376 (1 + z)^(29/2))) (Sqrt[1 + z] (229376 + z (5177344 + z (64913408 + z (699138048 + z (12724174848 + z (-100261485471 + 2 z (71767288313 - 4 z (6930009443 - 611674970 z + 2450448 z^2)))))))) - 14549535 z^(9/2) (2431 + 8 z (-1105 + 4 z (255 + 4 (-17 + 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