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Abstract: The problem is addressed of defining the values of functions, whose variablestend to infinity, from the knowledge of these functions at asymptotically smallvariables close to zero. For this purpose, the extrapolation by means ofdifferent types of self-similar approximants is employed. Two new variants ofsuch an extrapolation are suggested. The methods are illustrated by severalexamples of systems typical of chemical physics, statistical physics, andquantum physics. The developed methods make it possible to find goodapproximations for the strong-coupling limits from the knowledge of theweak-coupling expansions.



Autor: S. Gluzman, V.I. Yukalov

Fuente: https://arxiv.org/







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