Fractional powers of Clifford d-bar and radial derivatives

Simple item page
dc.contributor.authorYasin, Walaa
dc.contributor.authorFernandez, Arran
dc.date.accessioned2026-02-06T18:39:51Z
dc.date.issued2025
dc.departmentDoğu Akdeniz Üniversitesi
dc.description.abstractWe introduce new non-local derivative operators in the context of Clifford analysis, by giving meaning to fractional powers of the d-bar and radial derivatives in this setting. The definitions arise from binomial-type series constructions, and we justify them by proving natural properties including semigroup/composition properties and the new operators' action on special functions acting on paravectors. (c) 2024 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
dc.identifier.doi10.1016/j.jmaa.2024.128952
dc.identifier.issn0022-247X
dc.identifier.issn1096-0813
dc.identifier.issue2
dc.identifier.scopus2-s2.0-85206336021
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.1016/j.jmaa.2024.128952
dc.identifier.urihttps://hdl.handle.net/11129/13059
dc.identifier.volume542
dc.identifier.wosWOS:001338805300001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherAcademic Press Inc Elsevier Science
dc.relation.ispartofJournal of Mathematical Analysis and Applications
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20260204
dc.subjectClifford analysis
dc.subjectFractional calculus
dc.subjectd-bar derivatives
dc.subjectRadial derivatives
dc.subjectSemigroup of operators
dc.titleFractional powers of Clifford d-bar and radial derivatives
dc.typeArticle

Files

Collections

WoS Indexed Publications Collection
Scopus İndeksli Yayınlar Koleksiyonu