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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/07.23.03.4517.01









  


  








Input Form





Hypergeometric2F1[6, 6, -(3/2), -z] == (1/(65536 (1 + z)^(27/2))) (Sqrt[1 + z] (65536 + z (2424832 + z (102629376 + z (-1739182875 + 4 z (1245791175 + z (-993610281 + 8 (27463666 - 1139987 z) z)))))) + 45045 z^(5/2) (-9009 + 2 z (32175 + 16 z (-3575 + 2 z (975 + 2 z (-75 + 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