离散半经典正交多项式的比较渐近性

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-10-28 DOI:10.1142/s1664360722500102

D. Dominici

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引用次数: 1

摘要

我们研究了比值pn (x;z) φ n (x)渐近为n→∞，其中多项式pn (x;Z)相对于离散线性泛函是正交的，φ n (x)表示下降阶乘多项式。我们给出了允许计算np (x)的高阶渐近展开式的递归式。Z)，并给出了s≤2类的大多数离散半经典多项式的例子。我们展示了几个图来说明我们的结果的准确性。

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Comparative asymptotics for discrete semiclassical orthogonal polynomials

We study the ratio P n ( x ; z ) φ n ( x ) asymptotically as n → ∞ , where the polynomials P n ( x ; z ) are orthogonal with respect to a discrete linear functional and φ n ( x ) denote the falling factorial polynomials. We give recurrences that allow the computation of high order asymptotic expansions of P n ( x ; z ) and give examples for most discrete semiclassical polynomials of class s ≤ 2 . We show several plots illustrating the accuracy of our results.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.