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math.CO2020★ 1 cited
Some observations on the connection between Stirling numbers and Bessel numbers
David Stenlund
We present new proofs for some summation identities involving Stirling numbers of both first and second kind. The two main identities show a connection between Stirling numbers and…
math.CO2018
Some Double Sums Involving Ratios of Binomial Coefficients Arising From Urn Models
David Stenlund, James G. Wan
In this paper we discuss a class of double sums involving ratios of binomial coefficients. The sums are of the form \[ \sum_{j=0}^{n} \sum_{i=0}^j \frac{\binom{f_1(n)}{i}}{\binom{f…