Beyond the Euler--Mascheroni Constant: A Family of Functionals
General Mathematics
2025-09-29 v1
Abstract
We introduce a family of regularized functionals that generalize the Euler--Mascheroni constant . They arise from a weighted regularization of Clausen-type trigonometric sums, and admit explicit integral representations, differential and ladder relations, together with an umbral generating function.
Keywords
Cite
@article{arxiv.2509.22289,
title = {Beyond the Euler--Mascheroni Constant: A Family of Functionals},
author = {Ken Nagai},
journal= {arXiv preprint arXiv:2509.22289},
year = {2025}
}
Comments
5 pages, no figures. Short note