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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=-5/2, b>=a > For fixed z and a=-5/2, b=-5/2





http://functions.wolfram.com/07.23.03.1922.01









  


  








Input Form





Hypergeometric2F1[-(5/2), -(5/2), 7/2, z] == (1/(65536 z^(5/2))) (3 (Sqrt[(-(-1 + z)) z] (-15 + 4 z (60 + z (4501 + 8 z (731 + 107 z)))) + 5 (3 + 2 z (-25 + 16 z (25 + 2 z (75 + 50 z + 4 z^2)))) ArcSin[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