Fractional Powers of the Quaternionic d-Bar Derivative

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dc.contributor.authorFernandez, Arran
dc.contributor.authorGuder, Cihan
dc.contributor.authorYasin, Walaa
dc.date.accessioned2026-02-06T18:34:00Z
dc.date.issued2024
dc.departmentDoğu Akdeniz Üniversitesi
dc.description.abstractThis work introduces fractional d-bar derivatives in the setting of quaternionic analysis, by giving meaning to fractional powers of the quaternionic d-bar derivative. The definition is motivated by starting from nth-order d-bar derivatives for n is an element of N, and further justified by various natural properties such as composition laws and its action on special functions such as Fueter polynomials.
dc.description.sponsorshipDogbreve;u Akdeniz niversitesi [BAPC-04-22-03]; Eastern Mediterranean University
dc.description.sponsorshipThe first two authors would like to thank Eastern Mediterranean University for financial support via a BAP-C grant with project number BAPC-04-22-03, and they are also grateful to the Ghent Analysis and PDE group for hosting them during the period this research began.
dc.identifier.doi10.1007/s00006-023-01306-7
dc.identifier.issn0188-7009
dc.identifier.issn1661-4909
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85177760598
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.1007/s00006-023-01306-7
dc.identifier.urihttps://hdl.handle.net/11129/11574
dc.identifier.volume34
dc.identifier.wosWOS:001107836300001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer Basel Ag
dc.relation.ispartofAdvances in Applied Clifford Algebras
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20260204
dc.subjectClifford analysis
dc.subjectFractional derivative
dc.subjectFueter polynomial
dc.subjectQuaternion
dc.titleFractional Powers of the Quaternionic d-Bar Derivative
dc.typeArticle

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