四元数d-Bar导数的分数次幂

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2023-11-28 DOI:10.1007/s00006-023-01306-7

Arran Fernandez, Cihan Güder, Walaa Yasin

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引用次数: 0

摘要

本文通过赋予四元数d-bar导数的分数次幂的意义，在四元数分析的背景下引入了分数阶d-bar导数。这个定义的动机是从\(n\in {\mathbb {N}}\)的n阶d-bar导数开始的，并进一步被各种自然性质所证明，如组合定律及其对特殊函数(如Fueter多项式)的作用。

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Fractional Powers of the Quaternionic d-Bar Derivative

This work introduces fractional d-bar derivatives in the setting of quaternionic analysis, by giving meaning to fractional powers of the quaternionic d-bar derivative. The definition is motivated by starting from nth-order d-bar derivatives for \(n\in {\mathbb {N}}\), and further justified by various natural properties such as composition laws and its action on special functions such as Fueter polynomials.

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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.

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