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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=2, b>=a > For fixed z and a=2, b=3





http://functions.wolfram.com/07.23.03.3611.01









  


  








Input Form





Hypergeometric2F1[2, 3, -(3/2), -z] == (1/(16 (1 + z)^(13/2))) (Sqrt[1 + z] (16 + z (160 + z (1392 + z (-2147 + 70 z)))) + 315 z^(5/2) (-7 + 4 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