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DLMF:24.4.E33

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Formula:8139
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MaRDI QIDQ8139

  • Label: DLMF:24.4.E33


Digital Library of Mathematical Functions ID 24.4.E33

E 2 ⁢ n ⁡ ( 1 6 ) = E 2 ⁢ n ⁡ ( 5 6 ) = 1 + 3 - 2 ⁢ n 2 2 ⁢ n + 1 ⁢ E 2 ⁢ n . Euler-polynomial-E 2 𝑛 1 6 Euler-polynomial-E 2 𝑛 5 6 1 superscript 3 2 𝑛 superscript 2 2 𝑛 1 Euler-number-E 2 𝑛 {\displaystyle{\displaystyle E_{2n}\left(\tfrac{1}{6}\right)=E_{2n}\left(% \tfrac{5}{6}\right)=\frac{1+3^{-2n}}{2^{2n+1}}E_{2n}.}}


Constraint(s)

Symbols List

  • E n Euler-number-E 𝑛 {\displaystyle{\displaystyle E_{\NVar{n}}}} :
  • E n ⁡ ( x ) Euler-polynomial-E 𝑛 𝑥 {\displaystyle{\displaystyle E_{\NVar{n}}\left(\NVar{x}\right)}} :
  • n 𝑛 {\displaystyle{\displaystyle n}} : integer
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This page was last edited on 28 January 2024, at 10:02.
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