Asymptotic Estimates for r-Whitney Numbers of the Second Kind

Asymptotic Estimates for r-Whitney Numbers of the Second Kind

The r-Whitney numbers of the second kind are a generalization of all the Stirling-type numbers of the second kind which are in line with the unified generalization of Hsu and Shuie. In this paper, asymptotic formulas for r-Whitney numbers of the second kind with integer and real parameters are obtai...

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Main Authors: Cristina B. Corcino, Roberto B. Corcino, Nestor Acala
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2014/354053
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spelling doaj-752bd779792a4a0ab0916ba5914110702020-11-24T22:26:36ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/354053354053Asymptotic Estimates for r-Whitney Numbers of the Second KindCristina B. Corcino0Roberto B. Corcino1Nestor Acala2Institute of Mathematics, University of the Philippines, Diliman, 1101 Quezon City, PhilippinesDepartment of Mathematics, Mindanao State University, 9700 Marawi City, PhilippinesDepartment of Mathematics, Mindanao State University, 9700 Marawi City, PhilippinesThe r-Whitney numbers of the second kind are a generalization of all the Stirling-type numbers of the second kind which are in line with the unified generalization of Hsu and Shuie. In this paper, asymptotic formulas for r-Whitney numbers of the second kind with integer and real parameters are obtained and the range of validity of each formula is established.http://dx.doi.org/10.1155/2014/354053
collection DOAJ
language English
format Article
sources DOAJ
author Cristina B. Corcino
Roberto B. Corcino
Nestor Acala
spellingShingle Cristina B. Corcino
Roberto B. Corcino
Nestor Acala
Asymptotic Estimates for r-Whitney Numbers of the Second Kind
Journal of Applied Mathematics
author_facet Cristina B. Corcino
Roberto B. Corcino
Nestor Acala
author_sort Cristina B. Corcino
title Asymptotic Estimates for r-Whitney Numbers of the Second Kind
title_short Asymptotic Estimates for r-Whitney Numbers of the Second Kind
title_full Asymptotic Estimates for r-Whitney Numbers of the Second Kind
title_fullStr Asymptotic Estimates for r-Whitney Numbers of the Second Kind
title_full_unstemmed Asymptotic Estimates for r-Whitney Numbers of the Second Kind
title_sort asymptotic estimates for r-whitney numbers of the second kind
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2014-01-01
description The r-Whitney numbers of the second kind are a generalization of all the Stirling-type numbers of the second kind which are in line with the unified generalization of Hsu and Shuie. In this paper, asymptotic formulas for r-Whitney numbers of the second kind with integer and real parameters are obtained and the range of validity of each formula is established.
url http://dx.doi.org/10.1155/2014/354053
work_keys_str_mv AT cristinabcorcino asymptoticestimatesforrwhitneynumbersofthesecondkind
AT robertobcorcino asymptoticestimatesforrwhitneynumbersofthesecondkind
AT nestoracala asymptoticestimatesforrwhitneynumbersofthesecondkind
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