Mathematica > Mathematics and Algorithms > Discrete Mathematics > Combinatorial Functions > BellB
Mathematica > Mathematics and Algorithms > Mathematical Functions > Integer Functions > Combinatorial Functions > BellB
BUILT-IN MATHEMATICA SYMBOL

BellB

BellB[n]
gives the Bell number .

BellB[n, x]
gives the Bell polynomial .

DetailsDetails

  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • The Bell polynomials satisfy the generating function relation .
  • The Bell numbers are given by .
  • For certain special arguments, BellB automatically evaluates to exact values.
  • BellB can be evaluated to arbitrary numerical precision.
  • BellB automatically threads over lists.
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