On Generalized Bell Polynomials

It is shown that the sequence of the generalized Bell polynomials Sn(x) is convex under some restrictions of the parameters involved. A kind of recurrence relation for Sn(x) is established, and some numbers related to the generalized Bell numbers and their properties are investigated.

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Main Authors: Roberto B. Corcino, Cristina B. Corcino
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2011/623456
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author Roberto B. Corcino
Cristina B. Corcino
author_facet Roberto B. Corcino
Cristina B. Corcino
author_sort Roberto B. Corcino
collection DOAJ
description It is shown that the sequence of the generalized Bell polynomials Sn(x) is convex under some restrictions of the parameters involved. A kind of recurrence relation for Sn(x) is established, and some numbers related to the generalized Bell numbers and their properties are investigated.
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institution Kabale University
issn 1026-0226
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language English
publishDate 2011-01-01
publisher Wiley
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series Discrete Dynamics in Nature and Society
spelling doaj-art-550fb394ca144c36adb768cd37583ec02025-02-03T01:03:24ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2011-01-01201110.1155/2011/623456623456On Generalized Bell PolynomialsRoberto B. Corcino0Cristina B. Corcino1Department of Mathematics, Mindanao State University, Marawi City 9700, PhilippinesDepartment of Mathematics, De La Salle University, Manila 1004, PhilippinesIt is shown that the sequence of the generalized Bell polynomials Sn(x) is convex under some restrictions of the parameters involved. A kind of recurrence relation for Sn(x) is established, and some numbers related to the generalized Bell numbers and their properties are investigated.http://dx.doi.org/10.1155/2011/623456
spellingShingle Roberto B. Corcino
Cristina B. Corcino
On Generalized Bell Polynomials
Discrete Dynamics in Nature and Society
title On Generalized Bell Polynomials
title_full On Generalized Bell Polynomials
title_fullStr On Generalized Bell Polynomials
title_full_unstemmed On Generalized Bell Polynomials
title_short On Generalized Bell Polynomials
title_sort on generalized bell polynomials
url http://dx.doi.org/10.1155/2011/623456
work_keys_str_mv AT robertobcorcino ongeneralizedbellpolynomials
AT cristinabcorcino ongeneralizedbellpolynomials