一个对数表达式的级数展开和两个包含余弦的对数表达式之比递减的性质

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-12-08 DOI:10.1515/math-2023-0159

Yan-Fang Li, Feng Qi

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引用次数: 0

摘要

在这项研究中，作者根据两个可微分函数之比的导数公式，并借助单调性规则，将涉及余弦函数的对数表达式扩展为特定行列式的麦克劳林幂级数，并证明了包含余弦函数的两个对数表达式之比的递减性质。

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A series expansion of a logarithmic expression and a decreasing property of the ratio of two logarithmic expressions containing cosine

In this study, by virtue of a derivative formula for the ratio of two differentiable functions and with aid of a monotonicity rule, the authors expand a logarithmic expression involving the cosine function into the Maclaurin power series in terms of specific determinants and prove a decreasing property of the ratio of two logarithmic expressions containing the cosine function.

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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.