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Formula:2841

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Digital Library of Mathematical Functions ID 5.11.E17

G k ⁒ ( a , b ) = ( a - b k ) ⁒ B k ( a - b + 1 ) ⁑ ( a ) , subscript 𝐺 π‘˜ π‘Ž 𝑏 binomial π‘Ž 𝑏 π‘˜ generalized-Bernoulli-polynomial-B π‘Ž 𝑏 1 π‘˜ π‘Ž {\displaystyle{\displaystyle G_{k}(a,b)=\genfrac{(}{)}{0.0pt}{}{a-b}{k}B^{(a-b% +1)}_{k}\left(a\right),}}


Constraint(s)

Symbols List

  • ( m n ) binomial π‘š 𝑛 {\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{m}}{\NVar{n}}}} :
  • B n ( β„“ ) ⁑ ( x ) generalized-Bernoulli-polynomial-B β„“ 𝑛 π‘₯ {\displaystyle{\displaystyle B^{(\NVar{\ell})}_{\NVar{n}}\left(\NVar{x}\right)}} : generalized Bernoulli polynomials
  • k π‘˜ {\displaystyle{\displaystyle k}} : nonnegative integer
  • a π‘Ž {\displaystyle{\displaystyle a}} : real or complex variable
  • b 𝑏 {\displaystyle{\displaystyle b}} : real or complex variable
  •  Edit this on Wikidata

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