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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=5





http://functions.wolfram.com/07.23.03.2503.01









  


  








Input Form





Hypergeometric2F1[-(3/2), 5, 7/2, z] == (1/(16384 z^(5/2))) (15 ((-Sqrt[z]) (3 + 7 z (3 + 5 z (-25 + 33 z))) + (3 + 5 z (4 + 21 z (2 + z (-12 + 11 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