The altered Hermite matrix: implications and ramifications

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dc.contributor.authorKizilaslan, Gonca
dc.date.accessioned2025-01-21T16:44:52Z
dc.date.available2025-01-21T16:44:52Z
dc.date.issued2024
dc.departmentKırıkkale Üniversitesi
dc.description.abstractMatrix theory is essential for addressing practical problems and executing computational tasks. Matrices related to Hermite polynomials are essential due to their applications in quantum relations, and spectral properties make them a valuable tool for both theoretical research and practical applications. From a different perspective, we introduced a variant of the Hermite matrix that incorporates triple factorials and demonstrated that this matrix satisfies various properties. By utilizing effective matrix algebra techniques, various algebraic properties of this matrix have been determined, including the product formula, inverse matrix and eigenvalues. Additionally, we extended this matrix to a more generalized form and derived several identities.
dc.description.sponsorshipThe author would like to thank the referees for their helpful suggestions and comments that significantly improved the presentation of this work.
dc.identifier.doi10.3934/math.20241238
dc.identifier.endpage25375
dc.identifier.issn2473-6988
dc.identifier.issue9
dc.identifier.scopus2-s2.0-85203065401
dc.identifier.scopusqualityQ1
dc.identifier.startpage25360
dc.identifier.urihttps://doi.org/10.3934/math.20241238
dc.identifier.urihttps://hdl.handle.net/20.500.12587/25536
dc.identifier.volume9
dc.identifier.wosWOS:001305701400003
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherAmer Inst Mathematical Sciences-Aims
dc.relation.ispartofAims Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241229
dc.subjectPascal-like matrix; Hermite polynomials; degenerate Hermite polynomials; factorization of matrix; Toeplitz matrix
dc.titleThe altered Hermite matrix: implications and ramifications
dc.typeArticle

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