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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=-11/2, b>=a > For fixed z and a=-11/2, b=-9/2





http://functions.wolfram.com/07.23.03.0746.01









  


  








Input Form





Hypergeometric2F1[-(11/2), -(9/2), 11/2, -z] == -((1/(17179869184 z^(9/2))) (3 (Sqrt[z] Sqrt[1 + z] (8085 + 2 z (101255 + 8 z (178717 + z (2210439 + 4 z (-77618531 + 4 z (73209715 + 24 z (-3048500 + z (917913 + 4 z (-16671 + 56 z))))))))) + 1155 (-7 + 4 z (-45 + 8 z (-81 + 16 z (-63 + z (-1323 + 4 z (3969 + 4 z (-2205 + 4 z (378 + z (-81 + 4 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