Finite bivariate biorthogonal I-Konhauser polynomials

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dc.contributor.authorLekesiz, Esra Guldogan
dc.contributor.authorCekim, Bayram
dc.contributor.authorOzarslan, Mehmet Ali
dc.date.accessioned2026-02-06T18:37:19Z
dc.date.issued2026
dc.departmentDoğu Akdeniz Üniversitesi
dc.description.abstractIn the present study, a finite set of biorthogonal polynomials in two variables, produced from Konhauser polynomials, is introduced. Some properties like Laplace transform, integral and operational representation, fractional calculus operators of this family are investigated. Also, we compute Fourier transform for this new set and discover a new family of finite biorthogonal functions with the help of Parseval's identity. Further, in order to have semigroup property, we modify this finite set by adding two new parameters and construct fractional calculus operators. Thus, integral equation and integral operator are obtained for the modified version.
dc.description.sponsorshipScientific and Technological Research Council of Turkey (TUBITAK) [2218-122C240]
dc.description.sponsorshipThe author Guldo & gbreve;an Lekesiz E. in the work has been partially supported by the Scientific and Technological Research Council of Turkey (TUBITAK) (Grant number 2218-122C240) .
dc.identifier.doi10.1016/j.cam.2025.117106
dc.identifier.issn0377-0427
dc.identifier.issn1879-1778
dc.identifier.orcid0000-0001-7653-8745
dc.identifier.scopus2-s2.0-105017634579
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1016/j.cam.2025.117106
dc.identifier.urihttps://hdl.handle.net/11129/12417
dc.identifier.volume476
dc.identifier.wosWOS:001590442700002
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevier
dc.relation.ispartofJournal of Computational and Applied Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WoS_20260204
dc.subjectFinite biorthogonal polynomial
dc.subjectKonhauser polynomial
dc.subjectMittag-Leffler function
dc.subjectFractional operator
dc.subjectLaplace transform
dc.subjectFourier transform
dc.titleFinite bivariate biorthogonal I-Konhauser polynomials
dc.typeArticle

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