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arXiv · 2202.09565

Methods of Retrieving Large-Variable Exponents

V. I. Yukalov·S. Gluzman
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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.

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BibTeXRIS

V. I. Yukalov, S. Gluzman. 2022-02-19. Methods of Retrieving Large-Variable Exponents. https://arxiv.org/abs/2202.09565

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