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Formula:8126

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Digital Library of Mathematical Functions ID 24.4.E20

E n ⁡ ( m ⁢ x ) = m n ⁢ ∑ k = 0 m - 1 ( - 1 ) k ⁢ E n ⁡ ( x + k m ) , Euler-polynomial-E 𝑛 𝑚 𝑥 superscript 𝑚 𝑛 superscript subscript 𝑘 0 𝑚 1 superscript 1 𝑘 Euler-polynomial-E 𝑛 𝑥 𝑘 𝑚 {\displaystyle{\displaystyle E_{n}\left(mx\right)=m^{n}\sum_{k=0}^{m-1}(-1)^{k% }E_{n}\left(x+\frac{k}{m}\right),}}


Constraint(s)

m = 1 , 3 , 5 , … 𝑚 1 3 5 … {\displaystyle{\displaystyle m=1,3,5,\dots}}

Symbols List

  • E n ⁡ ( x ) Euler-polynomial-E 𝑛 𝑥 {\displaystyle{\displaystyle E_{\NVar{n}}\left(\NVar{x}\right)}} :
  • k 𝑘 {\displaystyle{\displaystyle k}} : integer
  • m 𝑚 {\displaystyle{\displaystyle m}} : integer
  • n 𝑛 {\displaystyle{\displaystyle n}} : integer
  • x 𝑥 {\displaystyle{\displaystyle x}} : real or complex
  •  Edit this on Wikidata

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