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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=11/2





http://functions.wolfram.com/07.23.03.1100.01









  


  










Input Form





Hypergeometric2F1[-(11/2), 11/2, 5, z] == -((1/(72747675 Pi z^4)) (256 ((176 + z (880 + z (4675 + z (40106 + z (-1480805 + 8 z (841771 + 16 z (-102455 + 128 z (795 - 398 z + 80 z^2)))))))) EllipticE[z] - 4 (-1 + z) (-44 + z (-242 + z (-1298 + z (-10725 + z (222485 + 16 z (-46897 + 32 z (2047 + 32 z (-41 + 10 z)))))))) EllipticK[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