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Formula:8119

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Digital Library of Mathematical Functions ID 24.4.E13

E n ⁡ ( x + h ) = ∑ k = 0 n ( n k ) ⁢ E k ⁡ ( x ) ⁢ h n - k , Euler-polynomial-E 𝑛 𝑥 ℎ superscript subscript 𝑘 0 𝑛 binomial 𝑛 𝑘 Euler-polynomial-E 𝑘 𝑥 superscript ℎ 𝑛 𝑘 {\displaystyle{\displaystyle E_{n}\left(x+h\right)=\sum_{k=0}^{n}{n\choose k}E% _{k}\left(x\right)h^{n-k},}}


Constraint(s)

Symbols List

  • 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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