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Formula:8274

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Digital Library of Mathematical Functions ID 24.16.E11

B n , χ ⁢ ( x ) = ∑ k = 0 n ( n k ) ⁢ B k , χ ⁢ x n - k . subscript 𝐵 𝑛 𝜒 𝑥 superscript subscript 𝑘 0 𝑛 binomial 𝑛 𝑘 subscript 𝐵 𝑘 𝜒 superscript 𝑥 𝑛 𝑘 {\displaystyle{\displaystyle B_{n,\chi}(x)=\sum_{k=0}^{n}{n\choose k}B_{k,\chi% }x^{n-k}.}}


Constraint(s)

Symbols List

  • ( m n ) binomial 𝑚 𝑛 {\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{m}}{\NVar{n}}}} :
  • k 𝑘 {\displaystyle{\displaystyle k}} : integer
  • 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
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This page was last edited on 28 January 2024, at 10:30.
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