Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/114831
DC Field | Value | Language |
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dc.contributor.author | Kovacec, Alexander | - |
dc.contributor.author | Sá, Pedro Barata de Tovar | - |
dc.date.accessioned | 2024-04-15T08:14:17Z | - |
dc.date.available | 2024-04-15T08:14:17Z | - |
dc.date.issued | 2023 | - |
dc.identifier.issn | 2300-7451 | pt |
dc.identifier.uri | https://hdl.handle.net/10316/114831 | - |
dc.description.abstract | Denote by σn the n-th Stirling polynomial in the sense of the well-known book Concrete Mathematics by Graham, Knuth and Patashnik. We show that there exist developments x σn (x) = σj = 0n (2jj!)-1 qn - j (j) xj with polynomials qj of degree j. We deduce from this the polynomial identities σ/a + b + c + d = n (-1)d (x - 2 a - 2 b)3n-s-a-c/a!b!c!d! (3n - s - a - c)! = 0, for s ϵ ℤ≥1, found in an attempt to find a simpler formula for the density function in a five-dimensional random flight problem. We point out a probable connection to Riordan arrays. | pt |
dc.language.iso | eng | pt |
dc.publisher | Walter de Gruyter | pt |
dc.relation | UID/ MAT/00324/2020 | pt |
dc.relation | Gulbenkian Foundation - “Novos Talentos em Matemática” programme | pt |
dc.rights | openAccess | pt |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | pt |
dc.subject | Stirling polynomials | pt |
dc.subject | polynomial identities | pt |
dc.subject | difference equations | pt |
dc.subject | random flights | pt |
dc.subject | Riordan arrays | pt |
dc.title | Representing the Stirling polynomials σn(x) in dependence of n and an application to polynomial zero identities | pt |
dc.type | article | - |
degois.publication.firstPage | 20220184 | pt |
degois.publication.issue | 1 | pt |
degois.publication.title | Special Matrices | pt |
dc.peerreviewed | yes | pt |
dc.identifier.doi | 10.1515/spma-2022-0184 | pt |
degois.publication.volume | 11 | pt |
dc.date.embargo | 2023-01-01 | * |
uc.date.periodoEmbargo | 0 | pt |
item.fulltext | Com Texto completo | - |
item.grantfulltext | open | - |
item.languageiso639-1 | en | - |
item.cerifentitytype | Publications | - |
item.openairetype | article | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
crisitem.author.researchunit | CMUC - Centre for Mathematics of the University of Coimbra | - |
Appears in Collections: | FCTUC Matemática - Artigos em Revistas Internacionais I&D CMUC - Artigos em Revistas Internacionais |
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File | Description | Size | Format | |
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Representing the Stirling polynomials σn(x) in dependence of n and an application to polynomial zero identities.pdf | 3.21 MB | Adobe PDF | View/Open |
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This item is licensed under a Creative Commons License