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





http://functions.wolfram.com/07.23.03.4521.01









  


  








Input Form





Hypergeometric2F1[6, 6, 1/2, -z] == (1/(327680 (1 + z)^(23/2))) (Sqrt[1 + z] (327680 + z (-17587235 + 4 z (25557485 + z (-34245973 + 8 (1429148 - 83711 z) z)))) + 3465 Sqrt[z] (-693 + 2 z (5775 + 16 z (-1155 + 2 z (495 + 2 z (-55 + 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