Generalized \(w\)-Euler numbers and polynomials
type: Item
instance of: scholarly article
title: Generalized \(w\)-Euler numbers and polynomials
zbMATH Open document ID: 1264.11012
DOI: 10.5402/2012/475463
published in: ISRN Applied Mathematics
publication date: 2013-06-11T00:00:00Z
review text: Summary: We generalize the Euler numbers and polynomials by the generalized \(w\)-Euler numbers \(E_{n, w}(a)\) and polynomials \(E_{n, w}(x : a)\). For the complement theorem, \(E_{n, w}(x : a)\) have interesting different properties from the Euler polynomials and we observe an interesting phenomenon of ``scattering'' of the zeros of the the generalized Euler polynomials \(E_{n, w}(x : a)\) in complex plane.
Mathematics Subject Classification ID: 11B65
Mathematics Subject Classification ID: 11S80
Mathematics Subject Classification ID: 33C45
Mathematics Subject Classification ID: 11B68
zbMATH DE Number: 6172953
zbMATH Keywords: complement theorem
zbMATH Keywords: Euler polynomials
Wikidata QID: Q58690816
author: Hui Young Lee
author: N. S. Jung
author: C. S. Ryoo
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.5402/2012/475463
OpenAlex ID: W2082870712
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description: scientific article; zbMATH DE number 6172953