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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Language: | English |
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2014-01-01
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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. |
format | Article |
id | doaj-art-752bd779792a4a0ab0916ba591411070 |
institution | Kabale University |
issn | 1110-757X 1687-0042 |
language | English |
publishDate | 2014-01-01 |
publisher | Wiley |
record_format | Article |
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 |
work_keys_str_mv | AT cristinabcorcino asymptoticestimatesforrwhitneynumbersofthesecondkind AT robertobcorcino asymptoticestimatesforrwhitneynumbersofthesecondkind AT nestoracala asymptoticestimatesforrwhitneynumbersofthesecondkind |