Laguerre type twice-iterated Appell polynomials

dc.contributor.authorBiricik, Neslihan
dc.contributor.authorOzarslan, Mehmet Ali
dc.contributor.authorCekim, Bayram
dc.date.accessioned2026-02-06T18:21:55Z
dc.date.issued2024
dc.departmentDoğu Akdeniz Üniversitesi
dc.description.abstractIn this study, we use discrete Appell convolution to define the sequence of Laguerre type twice -iterated Appell polynomials. We obtain explicit representation, recurrence relation, determinantal representation, lowering operator, integro-partial raising operator and integro-partial differential equation. In addition, the special cases of this new family are investigated using Euler and Bernoulli numbers. We also state their corresponding characteristic properties.
dc.description.sponsorshipScientific and Technological Research Council of Turkiye (TUBIdot;TAK)
dc.description.sponsorshipWe would like to thank The Scientific and Technological Research Council of Turkiye (TUB & Idot;TAK) for the TUEB & Idot;TAK B & Idot;DEB 2211-A General Domestic Doctorate Scholarship Program that supported the first author. We would like to thank the editor and reviewers for their valuable suggestions and comments.
dc.identifier.doi10.55730/1300-0098.3511
dc.identifier.issn1300-0098
dc.identifier.issn1303-6149
dc.identifier.issue2
dc.identifier.scopus2-s2.0-85193019330
dc.identifier.scopusqualityQ2
dc.identifier.trdizinid1242165
dc.identifier.urihttps://doi.org/10.55730/1300-0098.3511
dc.identifier.urihttps://search.trdizin.gov.tr/tr/yayin/detay/1242165
dc.identifier.urihttps://hdl.handle.net/11129/9543
dc.identifier.volume48
dc.identifier.wosWOS:001188914500014
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.indekslendigikaynakTR-Dizin
dc.language.isoen
dc.publisherTubitak Scientific & Technological Research Council Turkey
dc.relation.ispartofTurkish Journal of Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WoS_20260204
dc.subjectLaguerre type Appell polynomials
dc.subjectrecurrence relation
dc.subjectshift operators
dc.subjectdifferential equation
dc.titleLaguerre type twice-iterated Appell polynomials
dc.typeArticle

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