Methods of Retrieving Large-Variable Exponents
Statistical Mechanics
2022-02-22 v1 High Energy Physics - Phenomenology
Mathematical Physics
math.MP
Abstract
Methods of determining, from small-variable asymptotic expansions, the characteristic exponents for variables tending to infinity are analyzed. The following methods are considered: diff-log Pad\'e summation, self-similar factor approximation, self-similar diff-log summation, self-similar Borel summation, and self-similar Borel-Leroy summation. Several typical problems are treated. The comparison of the results shows that all these methods provide close estimates for the large-variable exponents. The reliable estimates are obtained when different methods of summation are compatible with each other.
Cite
@article{arxiv.2202.09565,
title = {Methods of Retrieving Large-Variable Exponents},
author = {V. I. Yukalov and S. Gluzman},
journal= {arXiv preprint arXiv:2202.09565},
year = {2022}
}
Comments
Latex file, 19 pages