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Formula:8279

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Digital Library of Mathematical Functions ID 24.17.E3

S n ⁢ ( x ) = E ~ n ⁡ ( x + 1 2 ⁢ n + 1 2 ) E ~ n ⁡ ( 1 2 ⁢ n + 1 2 ) , subscript 𝑆 𝑛 𝑥 periodic-Euler-polynomial-E 𝑛 𝑥 1 2 𝑛 1 2 periodic-Euler-polynomial-E 𝑛 1 2 𝑛 1 2 {\displaystyle{\displaystyle S_{n}(x)=\frac{\widetilde{E}_{n}\left(x+\tfrac{1}% {2}n+\tfrac{1}{2}\right)}{\widetilde{E}_{n}\left(\tfrac{1}{2}n+\tfrac{1}{2}% \right)},}}


Constraint(s)

n = 0 , 1 , … 𝑛 0 1 … {\displaystyle{\displaystyle n=0,1,\dots}}

Symbols List

  • E ~ n ⁡ ( x ) periodic-Euler-polynomial-E 𝑛 𝑥 {\displaystyle{\displaystyle\widetilde{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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