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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, b>=a > For fixed z and a=3, b=6





http://functions.wolfram.com/07.23.03.4069.01









  


  










Input Form





Hypergeometric2F1[3, 6, -(9/2), z] == (1/(6144 (-1 + z)^14)) ((-1 + z) (-6144 + z (104448 + z (-897024 + z (5476352 + z (-30623744 + z (287950848 + z (960081223 + 2 z (219223243 + 3432 z (1944 + z (-103 + 4 z)))))))))) - 14549535 Sqrt[1 - z] z^(11/2) (39 + 4 z (15 + 4 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