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Formula:8129

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Digital Library of Mathematical Functions ID 24.4.E23

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


Constraint(s)

Symbols List

  • B n ⁡ ( x ) Bernoulli-polynomial-B 𝑛 𝑥 {\displaystyle{\displaystyle B_{\NVar{n}}\left(\NVar{x}\right)}} :
  • 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
  •  Edit this on Wikidata

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