第二类广义Marcum函数的渐近和数值方面

IF 1 4区数学 Q1 MATHEMATICS

Applicable Analysis and Discrete Mathematics Pub Date : 2022-01-01 DOI:10.2298/aadm201001008b

Á. Baricz, Nitin Bisht, Sanjeev Singh, Antony Vijesh

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引用次数: 0

摘要

研究了第二类广义Marcum函数的渐近性和数值性。利用第二类修正Bessel函数的一些已知展开式，推导出了第二类广义Marcum函数在大参数条件下的渐近展开式，并在只有一个参数较大而其他参数固定的情况下得到了所有展开式。我们还用数值证明了本文所得到的渐近公式是很好的近似。

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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Asymptotic and numerical aspects of the generalized Marcum function of the second kind

The asymptotic and numerical behavior of the so-called generalized Marcum function of the second kind is considered. By using some known expansions on the modified Bessel function of the second kind, we deduce the asymptotic expansions for the generalized Marcum function of the second kind for large parameters, and all the expansions are obtained when exactly one parameter is large and others are fixed. We also show numerically that the asymptotic formulas obtained in this paper are good approximations.

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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/).