关于多指标Whittaker函数，相关积分和不等式

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2022-01-01 DOI:10.7153/jmi-2022-16-37

Musharraf Ali, J. Paneva-Konovska, T. Pogány

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引用次数: 0

摘要

．利用[1]中引入的第一类扩展多指数合流超几何函数Φ (γ i)， p (α i， β i)，给出了Whittaker函数M λ，µ(z)的一个新的推广。给出了相关的欧拉型积分表示和Laplace-Mellin和Hankel积分变换。建立了多指标Mittag-Leffler函数的泛函双面边界不等式，并推导了相应的ml扩展Whittaker函数的泛函下界。

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On multi-index Whittaker function, related integrals and inequalities

. A new generalization of Whittaker function M λ , µ ( z ) is introduced and studied by means of the extended multi-index conﬂuent hypergeometric function of the ﬁrst kind Φ ( γ i ) , p ( α i , β i ) introduced in [1]. The related Euler–type integral representation and the Laplace–Mellin and Hankel integral transforms are also presented. Functional two–sided bounding inequality is established for the multi-index Mittag-Lefﬂer function, and in continuation functional lower bound is derived for the associated ML-extended Whittaker 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.

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