Asymptotics of Taylor Coefficients of a Rational Function in Two Variables with Linear Singularities
Alexander Lyapin
TL;DR
This paper derives the leading asymptotic behavior of Taylor coefficients for certain two-variable rational functions with linear singularities, under specific restrictions on the denominator's factors.
Contribution
It provides the first explicit asymptotic formulas for coefficients of rational functions with linear singularities in two variables.
Findings
Explicit leading asymptotic formulas derived.
Conditions on linear factors specified.
Asymptotic behavior characterized under certain restrictions.
Abstract
In this paper, under certain restrictions on linear factors of the denominator of a rational function of two variables, the leading term of the asymptotic expansion of the coefficients is found.
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Taxonomy
TopicsAdvanced Theoretical and Applied Studies in Material Sciences and Geometry · Material Science and Thermodynamics · Advanced Differential Equations and Dynamical Systems