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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=-5/2, b>=a > For fixed z and a=-5/2, b=-1/2





http://functions.wolfram.com/07.23.03.1974.01









  


  








Input Form





Hypergeometric2F1[-(5/2), -(1/2), 5, z] == (1/(945945 Pi z^4)) (256 (2 (-8 + z (76 + z (-357 + z (1324 + z (5818 - 21 (-16 + z) z))))) EllipticE[z] + (-1 + z) (-16 + z (144 + z (-645 + z (2351 + 21 z (253 + 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