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: Wiley 2014-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2014/354053
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author Cristina B. Corcino
Roberto B. Corcino
Nestor Acala
author_facet Cristina B. Corcino
Roberto B. Corcino
Nestor Acala
author_sort Cristina B. Corcino
collection DOAJ
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.
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institution Kabale University
issn 1110-757X
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publishDate 2014-01-01
publisher Wiley
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series Journal of Applied Mathematics
spelling doaj-art-752bd779792a4a0ab0916ba5914110702025-02-03T01:27:36ZengWileyJournal 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
spellingShingle Cristina B. Corcino
Roberto B. Corcino
Nestor Acala
Asymptotic Estimates for r-Whitney Numbers of the Second Kind
Journal of Applied Mathematics
title 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_short Asymptotic Estimates for r-Whitney Numbers of the Second Kind
title_sort asymptotic estimates for r whitney numbers of the second kind
url http://dx.doi.org/10.1155/2014/354053
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