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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/07.23.03.4299.01









  


  








Input Form





Hypergeometric2F1[4, 6, -(11/2), z] == (1/(135168 (-1 + z)^16)) ((-1 + z) (-135168 + z (2617344 + z (-25333760 + z (168325120 + z (-917065728 + z (5051232256 + z (-51108958208 + z (-211298435685 + 4 z (-38393447150 + z (-6188609633 + 1108536 (-57 + z) z)))))))))) + 334639305 Sqrt[1 - z] z^(13/2) (323 + 2 z (323 + 8 z (19 + 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