Umbral operators for Cayley and Sylvester continuants

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-01-01 DOI:10.2298/aadm200120037m

E. Munarini

引用次数: 0

Abstract

We study the main umbral operators J, M and N associated with the Cayley continuants U(?)n(x) and the generalized Sylvester continuants H(?)n(x) = U(?+n)n(x). In particular, we obtain their representation in terms of the differential operator Dx and the shift operator E. Then, by using these representations, we obtain some combinatorial and differential identities for the continuants U(?)n(x) and H(?)n(x).

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Cayley和Sylvester连续体的本影操作员

研究了Cayley连续体U(?) N (x)和广义Sylvester连续体H(?) N (x) = U(?+ N) N (x)的主本影算子J、M和N。特别地，我们得到了它们的微分算子Dx和移位算子e的表示，然后利用这些表示，我们得到了连续体U(?)n(x)和H(?)n(x)的一些组合恒等式和微分恒等式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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.