English

Convolutions for Stirling numbers, Lah numbers, and binomial coefficients

Combinatorics 2021-03-30 v1

Abstract

We present various identities in the form of convolutions involving Stirling numbers of both kinds, Lah numbers, and binomial coefficients. Certain convolution polynomials are discussed also. The proofs are based on several series transformation formulas.

Keywords

Cite

@article{arxiv.2103.15644,
  title  = {Convolutions for Stirling numbers, Lah numbers, and binomial coefficients},
  author = {Khristo N. Boyadzhiev},
  journal= {arXiv preprint arXiv:2103.15644},
  year   = {2021}
}

Comments

18 pages

R2 v1 2026-06-24T00:39:08.262Z