Self-Similar Exponential Approximants
摘要
An approach is suggested defining effective sums of divergent series in the form of self-similar exponential approximants. The procedure of constructing these approximants from divergent series with arbitrary noninteger powers is developed. The basis of this construction is the self-similar approximation theory. Control functions governing the convergence of exponentially renormalized series are defined from stability and fixed-point conditions and from additional asymptotic conditions when the latter are available. The stability of the calculational procedure is checked by analyzing cascade multipliers. A number of physical examples for different statistical systems illustrate the generality and high accuracy of the approach.
引用
@article{arxiv.cond-mat/9809183,
title = {Self-Similar Exponential Approximants},
author = {V. I. Yukalov and S. Gluzman},
journal= {arXiv preprint arXiv:cond-mat/9809183},
year = {2009}
}
备注
1 file, 37 pages, RevTex, 1 table