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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=4, b>=a > For fixed z and a=4, b=6





http://functions.wolfram.com/07.23.03.4305.01









  


  








Input Form





Hypergeometric2F1[4, 6, -(5/2), z] == (1/(20480 (-1 + z)^13)) ((-1 + z) (20480 + z (-442368 + z (6004736 + z (-118407168 + z (-898013535 + 4 z (-266430815 + z (-65493521 + 24024 (-42 + z) z))))))) + 765765 Sqrt[1 - z] z^(7/2) (429 + 10 z (143 + 8 z (13 + 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