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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=5





http://functions.wolfram.com/07.23.03.4026.01









  


  








Input Form





Hypergeometric2F1[3, 5, -(7/2), -z] == (1/(7168 (1 + z)^(23/2))) (Sqrt[1 + z] (7168 + z (109568 + z (879616 + z (5641216 + z (55685120 - z (180494453 + 6 z (-12110517 + 4004 z (67 + 2 z)))))))) - 765765 z^(9/2) (143 + 16 z (-13 + 3 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