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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=3, b>=a > For fixed z and a=3, b=5





http://functions.wolfram.com/07.23.03.4024.01









  


  








Input Form





Hypergeometric2F1[3, 5, -(9/2), -z] == (1/(21504 (1 + z)^(25/2))) (Sqrt[1 + z] (21504 + z (329728 + z (2525184 + z (13557760 + z (65571840 + z (523585536 - z (1389217313 + 2 z (-237567283 + 60060 z (75 + 2 z))))))))) - 14549535 z^(11/2) (65 + 16 (-5 + 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