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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=6





http://functions.wolfram.com/07.23.03.4072.01









  


  








Input Form





Hypergeometric2F1[3, 6, -(7/2), -z] == (1/(71680 (1 + z)^(25/2))) (Sqrt[1 + z] (71680 + z (1228800 + z (11218944 + z (83222528 - z (-968484864 + z (3942133935 + 2 z (-1059428135 + 24024 z (1569 + z (93 + 4 z))))))))) - 14549535 z^(9/2) (143 + 20 z (-13 + 4 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