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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/07.23.03.2506.01









  


  










Input Form





Hypergeometric2F1[-(3/2), 5, 9/2, z] == (1/(32768 z^(7/2))) (-7 Sqrt[z] (15 + z (50 + 21 z (8 + 5 z (-34 + 33 z)))) + 105 (1 + z (3 + z (10 + 7 z (10 - 45 z + 33 z^2)))) 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