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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=-9/2, b>=a > For fixed z and a=-9/2, b=1/2





http://functions.wolfram.com/07.23.03.1266.01









  


  










Input Form





Hypergeometric2F1[-(9/2), 1/2, 5/2, z] == (1/(10240 z^(3/2))) (Sqrt[(-(-1 + z)) z] (315 + 2 z (3335 + 8 z (-403 + z (267 + 4 z (-25 + 4 z))))) + 315 (-1 + 12 z) 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