A note on some identities of degenerate Bernoulli numbers

Source abstract

In this note, we investigate the algebraic and combinatorial properties of degenerate special numbers and polynomials, focusing on their deep connections to classical sequences. By leveraging the framework of degenerate exponential and logarithm functions, we establish several explicit formulas and identities. Specifically, we provide an explicit expression for the Bessel numbers of the first kind and recall a previously established explicit formula for the degenerate Bernoulli numbers that is needed for the subsequent development. Finally, we establish an identity linking the Bessel numbers of the first kind, the degenerate Bernoulli numbers, and the degenerate Stirling numbers of the first kind.