2021arXiv (Cornell University)Open access

Convolutions for Stirling numbers, Lah numbers, and binomial coefficients

Khristo N. Boyadzhiev

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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.

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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.

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Available 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.

Key concepts: Central binomial coefficient, Binomial coefficient, Stirling numbers of the second kind, Stirling numbers of the first kind, Mathematics, Binomial (polynomial), Stirling engine, Stirling number

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