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Formula:8542

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Digital Library of Mathematical Functions ID 26.8.E21

s ⁑ ( n + k + 1 , k ) = - βˆ‘ j = 0 k ( n + j ) ⁒ s ⁑ ( n + j , j ) . Stirling-number-first-kind-S 𝑛 π‘˜ 1 π‘˜ superscript subscript 𝑗 0 π‘˜ 𝑛 𝑗 Stirling-number-first-kind-S 𝑛 𝑗 𝑗 {\displaystyle{\displaystyle s\left(n+k+1,k\right)=-\sum_{j=0}^{k}(n+j)s\left(% n+j,j\right).}}


Constraint(s)

Symbols List

  • s ⁑ ( n , k ) Stirling-number-first-kind-S 𝑛 π‘˜ {\displaystyle{\displaystyle s\left(\NVar{n},\NVar{k}\right)}} :
  • j 𝑗 {\displaystyle{\displaystyle j}} : nonnegative integer
  • k π‘˜ {\displaystyle{\displaystyle k}} : nonnegative integer
  • n 𝑛 {\displaystyle{\displaystyle n}} : nonnegative integer
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This page was last edited on 28 January 2024, at 11:30.
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