High precision computation and a new asymptotic formula for the generalized Stieltjes constants
Numerical Analysis
2022-12-21 v2 Numerical Analysis
Number Theory
Abstract
We provide an efficient method to evaluate the generalized Stieltjes constants numerically to arbitrary accuracy for large and values. The method uses an integral representation for the constants and evaluates the integral by applying the double exponential (DE) quadrature method near the saddle points of the integrands. Further, we provide a highly accurate asymptotic formula for the generalized Stieltjes constants.
Keywords
Cite
@article{arxiv.2212.07956,
title = {High precision computation and a new asymptotic formula for the generalized Stieltjes constants},
author = {Sandeep Tyagi},
journal= {arXiv preprint arXiv:2212.07956},
year = {2022}
}