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variants of this functions
EulerE






Mathematica Notation

Traditional Notation









Integer Functions > EulerE[n] > Series representations > Asymptotic series expansions





http://functions.wolfram.com/04.12.06.0003.01









  


  










Input Form





EulerE[2 n] \[Proportional] ((4 Sqrt[Pi])/(2 n + 1)) Sum[(-1)^k (2^(2 k) - 1) Sqrt[k] ((2 k)/(Pi E))^(2 k) Binomial[2 n + 1, 2 k] (1 + O[1/n]), {k, 1, n}] /; (n -> Infinity)










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)





2001-10-29