Exotic series with Bernoulli, harmonic, Catalan, and Stirling numbers
Combinatorics
2021-10-05 v1 Number Theory
Abstract
In this paper, we present a formula for generating various exotic series in the spirit of Ovidiu Furdui and Alina Sintamarian. Our new series (evaluated in closed form) involve Bernoulli, harmonic, and Catalan numbers. Also Stirling numbers of the second kind, other special numbers, and exponential polynomials. The results include series identities with Laguerre polynomials and derangement polynomials.
Keywords
Cite
@article{arxiv.2110.00689,
title = {Exotic series with Bernoulli, harmonic, Catalan, and Stirling numbers},
author = {Khristo N. Boyadzhiev},
journal= {arXiv preprint arXiv:2110.00689},
year = {2021}
}
Comments
16 pages