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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=-9/2, b>=a > For fixed z and a=-9/2, b=-1/2





http://functions.wolfram.com/07.23.03.1252.01









  


  








Input Form





Hypergeometric2F1[-(9/2), -(1/2), 5, z] == (1/(3828825 Pi z^4)) (256 ( 2 (-8 + z (100 + z (-645 + z (3472 + z (26930 + z (3472 + z (-645 + 4 (25 - 2 z) z))))))) EllipticE[z] + (-1 + z) (-16 + z (192 + z (-1197 + z (6380 + z (26930 + z (564 + z (-93 + 8 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