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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=3/2





http://functions.wolfram.com/07.23.03.1318.01









  


  








Input Form





Hypergeometric2F1[-(9/2), 3/2, 7/2, -z] == (1/(28672 z^(5/2))) (Sqrt[z] Sqrt[1 + z] (945 + 4 z (945 + z (6559 + 8 z (1340 + z (1101 + 16 z (29 + 5 z)))))) - 315 (3 + 14 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