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Formula:8276

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Digital Library of Mathematical Functions ID 24.16.E13

E n ⁡ ( x ) = - 2 1 - n n + 1 ⁢ B n + 1 , χ 4 ⁢ ( 2 ⁢ x - 1 ) . Euler-polynomial-E 𝑛 𝑥 superscript 2 1 𝑛 𝑛 1 subscript 𝐵 𝑛 1 subscript 𝜒 4 2 𝑥 1 {\displaystyle{\displaystyle E_{n}\left(x\right)=-\frac{2^{1-n}}{n+1}B_{n+1,% \chi_{4}}(2x-1).}}


Constraint(s)

Symbols List

  • E n ⁡ ( x ) Euler-polynomial-E 𝑛 𝑥 {\displaystyle{\displaystyle E_{\NVar{n}}\left(\NVar{x}\right)}} :
  • n 𝑛 {\displaystyle{\displaystyle n}} : integer
  • x 𝑥 {\displaystyle{\displaystyle x}} : real or complex
  • χ ⁢ ( a ) 𝜒 𝑎 {\displaystyle{\displaystyle\chi(a)}} : Dirichlet character
  • B n , χ subscript 𝐵 𝑛 𝜒 {\displaystyle{\displaystyle B_{n,\chi}}} : Generalized Bernoulli numbers
  •  Edit this on Wikidata

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