A q-Translation Approach to Liu's Calculus

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dc.contributor.authorAslan, Hatice
dc.contributor.authorIsmail, Mourad E. H.
dc.date.accessioned2026-08-12T17:22:07Z
dc.date.issued2019
dc.departmentFırat Üniversitesi
dc.description.abstractWe show that there is a concept of q-translation behind the approach used by Liu to prove summation and transformation identities for q-series. We revisit the q-translation associated with the Askey-Wilson operator introduced in Ismail (Ann Comb 5(3-4):347-362, 2001), simplify its formalism and point out new properties of this translation operator.
dc.identifier.doi10.1007/s00026-019-00450-x
dc.identifier.endpage488
dc.identifier.issn0218-0006
dc.identifier.issn0219-3094
dc.identifier.issue3.Nis
dc.identifier.orcid0000-0002-3486-4179
dc.identifier.startpage465
dc.identifier.urihttps://doi.org/10.1007/s00026-019-00450-x
dc.identifier.urihttps://hdl.handle.net/11508/54208
dc.identifier.volume23
dc.identifier.wosWOS:000494203500001
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.publisherSpringer Basel Ag
dc.relation.ispartofAnnals of Combinatorics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20260511
dc.subjectTranslation operators
dc.subjectAskey-Wilson operators
dc.subjectq-Exponential functions
dc.subjectq-1-Hermite polynomials
dc.subjectAddition theorems
dc.subjectPolynomial expansions
dc.subjectPrimary 05A30
dc.subject05A40
dc.subjectSecondary 33D45
dc.titleA q-Translation Approach to Liu's Calculus
dc.typeArticle

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