Convolutions for Stirling numbers, Lah numbers, and binomial coefficients
arXiv:2103.15644
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.
arXiv comment18 pages
References in corpus (3)
- Series Transformation Formulas of Euler Type, Hadamard Product of Functions, and Harmonic Number Identities
- New series identities with Cauchy, Stirling, and harmonic numbers, and Laguerre polynomials
- New identities with Stirling, hyperharmonic, and derangement numbers, Bernoulli and Euler polynomials, powers, and factorials