2025/09/26 by Nagai, Ken
#FOS: Mathematics #General Mathematics (math.GM)
paper · doi:10.48550/arxiv.2509.22289
We introduce a family of regularized functionals gn(x) that generalize the Euler--Mascheroni constant γ. 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.