Topic
Asymptotology
About: Asymptotology is a research topic. Over the lifetime, 1319 publications have been published within this topic receiving 35831 citations.
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TL;DR: In this paper, the authors extend the theory to provide stability criteria for periodic solutions which are known to exist but for which the first term of the asymptotic expansion does not determine stability.
20 citations
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TL;DR: In this article, a new method of studying the asymptotic behaviour of orthogonal polynomials in the neighbourhood of an end-point of the support of the orthogonality measure is proposed.
Abstract: A new method of studying the asymptotic behaviour of orthogonal polynomials in the neighbourhood of an end-point of the support of the orthogonality measure is put forward. The asymptotics in the neighbourhood of the end-point is found in terms of the asymptotics of the values of the polynomials at the point itself and the asymptotic behaviour of the coefficients of the recurrence relations. Applications of the result obtained are considered.
19 citations
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19 citations