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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=-11/2, b>=a > For fixed z and a=-11/2, b=-9/2





http://functions.wolfram.com/07.23.03.0737.01









  


  










Input Form





Hypergeometric2F1[-(11/2), -(9/2), 5/2, -z] == (1/(10485760 z^(3/2))) (Sqrt[z] Sqrt[1 + z] (-10395 + 2 z (4809755 - 4 z (10284991 + 16 z (-1211394 + z (614749 + z (-69821 + 360 z)))))) - 3465 (-3 + 4 z (-63 + 2 z (945 + 8 z (-525 + 2 z (315 + 4 z (-27 + 2 z)))))) ArcSinh[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