Asymptotic and numerical aspects of the generalized Marcum function of the second kind-Reference-Cited by-同舟云学术

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

Published:2022 Issue:1 Volume:16 Page:202-217
ISSN:1452-8630
Container-title:Applicable Analysis and Discrete Mathematics
language:en
Short-container-title:APPL ANAL DISCRETE M

Author:

Baricz Árpád¹,Bisht Nitin²,Singh Sanjeev²,Vijesh Antony²

Affiliation:

1. Department of Economics, Babeş-Bolyai University, Cluj-Napoca, Romania + Institute of Applied Mathematics, Óbuda University, Budapest, Hungary

2. Department of Mathematics, Indian Institute of Technology Indore, Indore, India

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.

Publisher

National Library of Serbia

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Reference6 articles.

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