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 Documentation / Mathematica / Built-in Functions / Mathematical Functions / Combinatorial  /
EulerE

  • EulerE[ n ] gives the Euler number .
  • EulerE[ n , x ] gives the Euler polynomial .
  • Mathematical function (see Section A.3.10).
  • The Euler polynomials satisfy the generating function relation .
  • The Euler numbers are given by .
  • See the Mathematica book: Section 3.2.5.

    Further Examples

    Here are the first 12 Euler numbers; EulerE[n] is zero for n even.

    In[1]:=

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    Here is a table of the first Euler polynomials.

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    Out[2]//TableForm=

    This is the derivative.

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    This is the indefinite integral.

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    This is a series expansion around .

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