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math.NT2020★ 1 cited
Stirling numbers and inverse factorial series
Khristo N. Boyadzhiev
We study inverse factorial series and their relation to Stirling numbers of the first kind. We prove a special representation of the polylogarithm function in terms of series with…
math.NT2020★ 3 cited
New identities with Stirling, hyperharmonic, and derangement numbers, Bernoulli and Euler polynomials, powers, and factorials
Khristo N. Boyadzhiev
A number of identities are proved by using Stirling transforms. These identities involve Stirling numbers of the first and second kinds, hyperharmonic and derangement numbers, Bern…