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Formula:8120

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Digital Library of Mathematical Functions ID 24.4.E14

E n - 1 ⁡ ( x ) = 2 n ⁢ ∑ k = 0 n ( n k ) ⁢ ( 1 - 2 k ) ⁢ B k ⁢ x n - k , Euler-polynomial-E 𝑛 1 𝑥 2 𝑛 superscript subscript 𝑘 0 𝑛 binomial 𝑛 𝑘 1 superscript 2 𝑘 Bernoulli-number-B 𝑘 superscript 𝑥 𝑛 𝑘 {\displaystyle{\displaystyle E_{n-1}\left(x\right)=\frac{2}{n}\sum_{k=0}^{n}{n% \choose k}(1-2^{k})B_{k}x^{n-k},}}


Constraint(s)

Symbols List

  • B n Bernoulli-number-B 𝑛 {\displaystyle{\displaystyle B_{\NVar{n}}}} :
  • E n ⁡ ( x ) Euler-polynomial-E 𝑛 𝑥 {\displaystyle{\displaystyle E_{\NVar{n}}\left(\NVar{x}\right)}} :
  • ( m n ) binomial 𝑚 𝑛 {\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{m}}{\NVar{n}}}} :
  • k 𝑘 {\displaystyle{\displaystyle k}} : integer
  • n 𝑛 {\displaystyle{\displaystyle n}} : integer
  • x 𝑥 {\displaystyle{\displaystyle x}} : real or complex
  •  Edit this on Wikidata

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