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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=6





http://functions.wolfram.com/07.23.03.3753.01









  


  








Input Form





Hypergeometric2F1[2, 6, -(1/2), z] == (1/(512 (-1 + z)^9)) ((-1 + z) (512 + z (-16384 + z (-100363 + 4 z (-5810 + z (1309 + 8 z (-31 + 3 z)))))) + 45045 Sqrt[1 - z] z^(3/2) (1 + 2 z) ArcSin[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