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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=1, b>=a > For fixed z and a=1, b=6





http://functions.wolfram.com/07.23.03.3333.01









  


  








Input Form





Hypergeometric2F1[1, 6, -(3/2), -z] == (1/(256 (1 + z)^(17/2))) (Sqrt[1 + z] (256 - z (-3072 + z (-29696 + z (26635 + 2 z (6055 + 4 z (581 + 2 z (71 + 8 z))))))) - 45045 z^(5/2) 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