A Relation Between Bernoulli Numbers, Stirling Numbers of the First Kind, and Bessel Numbers of the First Kind
Abdelhay Benmoussa
公開日: 2025/5/28
Abstract
We establish a novel identity connecting Bernoulli numbers, unsigned Stirling numbers of the first kind, and Bessel numbers of the first kind. Our derivation relies on properties of Bessel polynomials and operational formulas for the differential operator. This formula generalizes certain known relationships between Bernoulli and Stirling numbers and provides a bridge to Bessel numbers in combinatorial settings.