巴恩斯g函数的一些新性质及有关结果

IF 1 4区数学 Q1 MATHEMATICS

Applicable Analysis and Discrete Mathematics Pub Date : 2021-01-01 DOI:10.2298/aadm200424056c

Chao Chen, H. Srivastava

引用次数: 2

摘要

本文给出了Barnes g函数的几个可能有用的性质。这里考虑的性质包括，例如，它的积分表示，完全单调性和连分数近似。我们还推导了Glaisher-Kinkelin常数和Choi-Srivastava常数的连续分数近似。

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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Some new properties of the Barnes G-function and related results

In this paper, we present several potentially useful properties of the Barnes G-function. The properties considered here include, for example, its integral representation, complete monotonicity, and continued-fraction approximation. We also derive continued-fraction approximations of the Glaisher-Kinkelin constant and the Choi-Srivastava constants.

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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/).