Asymptotic Estimates for Second Kind Generalized Stirling Numbers

Asymptotic Estimates for Second Kind Generalized Stirling Numbers

Asymptotic formulas for the generalized Stirling numbers of the second kind with integer and real parameters are obtained and ranges of validity of the formulas are established. The generalizations of Stirling numbers considered here are generalizations along the line of Hsu and Shuie's unified...

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Main Authors: Cristina B. Corcino, Roberto B. Corcino
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2013/918513
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spelling doaj-c97b32c6336c40408f74f37ccdcfe61a2020-11-24T21:01:33ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/918513918513Asymptotic Estimates for Second Kind Generalized Stirling NumbersCristina B. Corcino0Roberto B. Corcino1Institute of Mathematics, University of the Philippines, Diliman, 1101 Quezon City, PhilippinesDepartment of Mathematics, Mindanao State University Main Campus, 9700 Marawi City, PhilippinesAsymptotic formulas for the generalized Stirling numbers of the second kind with integer and real parameters are obtained and ranges of validity of the formulas are established. The generalizations of Stirling numbers considered here are generalizations along the line of Hsu and Shuie's unified generalization.http://dx.doi.org/10.1155/2013/918513
collection DOAJ
language English
format Article
sources DOAJ
author Cristina B. Corcino
Roberto B. Corcino
spellingShingle Cristina B. Corcino
Roberto B. Corcino
Asymptotic Estimates for Second Kind Generalized Stirling Numbers
Journal of Applied Mathematics
author_facet Cristina B. Corcino
Roberto B. Corcino
author_sort Cristina B. Corcino
title Asymptotic Estimates for Second Kind Generalized Stirling Numbers
title_short Asymptotic Estimates for Second Kind Generalized Stirling Numbers
title_full Asymptotic Estimates for Second Kind Generalized Stirling Numbers
title_fullStr Asymptotic Estimates for Second Kind Generalized Stirling Numbers
title_full_unstemmed Asymptotic Estimates for Second Kind Generalized Stirling Numbers
title_sort asymptotic estimates for second kind generalized stirling numbers
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2013-01-01
description Asymptotic formulas for the generalized Stirling numbers of the second kind with integer and real parameters are obtained and ranges of validity of the formulas are established. The generalizations of Stirling numbers considered here are generalizations along the line of Hsu and Shuie's unified generalization.
url http://dx.doi.org/10.1155/2013/918513
work_keys_str_mv AT cristinabcorcino asymptoticestimatesforsecondkindgeneralizedstirlingnumbers
AT robertobcorcino asymptoticestimatesforsecondkindgeneralizedstirlingnumbers
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