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arXiv · 1712.06940

Critical indices from self-similar root approximants

S. Gluzman·V. I. Yukalov
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Abstract

The method of self-similar root approximants has earlier been shown to provide accurate interpolating formulas for functions for which small-variable expansions are given and the behaviour of the functions at large variables is known. Now this method is generalized for the purpose of extrapolating small-variable expansions to the region of finite and large variables, where the sought function exhibits critical behaviour. The procedure of calculating critical indices is formulated and illustrated by a variety of physical problems.

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S. Gluzman, V. I. Yukalov. 2017-12-19. Critical indices from self-similar root approximants. https://arxiv.org/abs/1712.06940

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