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Spivey’s type recurrence relation for Lah-Bell polynomials

Author

Listed:
  • Dae San Kim
  • Sunyoung Bu
  • Hyunseok Lee
  • Murad Khalil
  • Taekyun Kim

Abstract

The aim of this paper is to derive Spivey’s type recurrence relations for the Lah-Bell polynomials and the $r$r-Lah-Bell polynomials by utilizing operators $X$X and $D$D satisfying the commutation relation $DX - XD = 1$DX−XD=1. Here $X$X is the ‘multiplication by $x$x’ operator and $D$D is the differentiation operator $D = {d \over {dx}}$D=ddx. In addition, we obtain Spivey’s type recurrence relation for the $\lambda $λ analogue of $r$r-Lah-Bell polynomials by some other method without using the operators $X$X and $D$D.

Suggested Citation

  • Dae San Kim & Sunyoung Bu & Hyunseok Lee & Murad Khalil & Taekyun Kim, 2025. "Spivey’s type recurrence relation for Lah-Bell polynomials," Mathematical and Computer Modelling of Dynamical Systems, Taylor & Francis Journals, vol. 31(1), pages 2547873-254, December.
    • Handle: RePEc:taf:nmcmxx:v:31:y:2025:i:1:p:2547873
    DOI: 10.1080/13873954.2025.2547873
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