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Formula:8281

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Digital Library of Mathematical Functions ID 24.17.E5

M n ⁢ ( x ) = { B ~ n ⁡ ( x ) - B n , n ⁢  even , B ~ n ⁡ ( x + 1 2 ) , n ⁢  odd . subscript 𝑀 𝑛 𝑥 cases periodic-Bernoulli-polynomial-B 𝑛 𝑥 Bernoulli-number-B 𝑛 𝑛  even periodic-Bernoulli-polynomial-B 𝑛 𝑥 1 2 𝑛  odd {\displaystyle{\displaystyle M_{n}(x)=\begin{cases}\widetilde{B}_{n}\left(x% \right)-B_{n},&n\text{ even},\\ \widetilde{B}_{n}\left(x+\frac{1}{2}\right),&n\text{ odd}.\end{cases}}}


Constraint(s)

Symbols List

  • B n Bernoulli-number-B 𝑛 {\displaystyle{\displaystyle B_{\NVar{n}}}} :
  • B ~ n ⁡ ( x ) periodic-Bernoulli-polynomial-B 𝑛 𝑥 {\displaystyle{\displaystyle\widetilde{B}_{\NVar{n}}\left(\NVar{x}\right)}} :
  • n 𝑛 {\displaystyle{\displaystyle n}} : integer
  • x 𝑥 {\displaystyle{\displaystyle x}} : real or complex
  • M n ⁢ ( x ) subscript 𝑀 𝑛 𝑥 {\displaystyle{\displaystyle M_{n}(x)}} : function
  •  Edit this on Wikidata

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This page was last edited on 28 January 2024, at 10:30.
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