학술논문

ASYMPTOTIC AND NUMERICAL ASPECTS OF THE GENERALIZED MARCUM FUNCTION OF THE SECOND KIND.
Document Type
Article
Source
Applicable Analysis & Discrete Mathematics. Apr2022, Vol. 16 Issue 1, p202-217. 16p.
Subject
*ASYMPTOTIC expansions
*BESSEL functions
Language
ISSN
1452-8630
Abstract
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. [ABSTRACT FROM AUTHOR]