多项式系数和多元贝塔函数的一些对数完全单调函数和不等式

IF 1 4区数学 Q1 MATHEMATICS

Applicable Analysis and Discrete Mathematics Pub Date : 2020-10-31 DOI:10.2298/AADM191111033Q

Feng Qi (祁锋), Da-Wei Niu, D. Lim, Bai-Ni Guo (郭白妮)

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引用次数: 22

摘要

本文将概率伯努利试验中涉及伽玛函数的一个函数推广到其最大范围，得到了这些推广函数的对数完全单调性，并根据这些推广函数对数完全单调，导出了多项式系数和多元β函数的一些不等式。这些结果恢复、扩展和推广了一些已知的结论。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Some logarithmically completely monotonic functions and inequalities for multinomial coefficients and multivariate beta functions

In the paper, the authors extend a function arising from the Bernoulli trials in probability and involving the gamma function to its largest ranges, find logarithmically complete monotonicity of these extended functions, and, in light of logarithmically complete monotonicity of these extended functions, derive some inequalities for multinomial coefficients and multivariate beta functions. These results recover, extend, and generalize some known conclusions.

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来源期刊

Applicable Analysis and Discrete Mathematics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.40

自引率

11.10%

发文量

审稿时长

>12 weeks

期刊介绍： Applicable Analysis and Discrete Mathematics is indexed, abstracted and cover-to cover reviewed in: Web of Science, Current Contents/Physical, Chemical & Earth Sciences (CC/PC&ES), Mathematical Reviews/MathSciNet, Zentralblatt für Mathematik, Referativny Zhurnal-VINITI. It is included Citation Index-Expanded (SCIE), ISI Alerting Service and in Digital Mathematical Registry of American Mathematical Society (http://www.ams.org/dmr/).