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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=-3/2, b>=a > For fixed z and a=-3/2, b=6





http://functions.wolfram.com/07.23.03.2541.01









  


  








Input Form





Hypergeometric2F1[-(3/2), 6, 5/2, z] == (1/(20480 (-1 + z)^2 z^(3/2))) (3 (Sqrt[z] (-35 + z (5940 - 7 z (3754 + 55 z (-92 + 39 z)))) + 35 (-1 + z)^2 (1 + 3 z (9 + 11 z (-9 + 13 z))) ArcTanh[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