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Some generating functions for q-polynomials

dc.contributor.authorCohl, Howard S.
dc.contributor.authorCostas-Santos, Roberto S.
dc.contributor.authorWakhare, Tanay V.
dc.date.accessioned2026-01-09T06:30:58Z
dc.date.available2026-01-09T06:30:58Z
dc.date.issued2018
dc.identifier.citationCohl, H. S., Costas-Santos, R. S., and Wakhare, T. V. Some generating functions for q-polynomials. Symmetry-Basel 10, no. 12 (2018), 758, 300—311es
dc.identifier.issn2073-8994
dc.identifier.urihttps://hdl.handle.net/20.500.12412/6995
dc.description.abstractDemonstrating the striking symmetry between calculus and -calculus, we obtain -analogues of the Bateman, Pasternack, Sylvester, and Cesàro polynomials. Using these, we also obtain q-analogues for some of their generating functions. Our q-generating functions are given in terms of the basic hypergeometric series and q-Pochhammer symbols. Starting with our q-generating functions, we are also able to find some new classical generating functions for the Pasternack and Bateman polynomialses
dc.description.sponsorshipDirección General de Investigación, Ministerio de Economía y Competitividad of Spaines
dc.language.isoenges
dc.titleSome generating functions for q-polynomialses
dc.typearticlees
dc.identifier.doi10.3390/sym10120758
dc.issue.number12es
dc.journal.titleSymmetryes
dc.page.initial758es
dc.page.final769es
dc.relation.projectIDMTM2015-65888-C4-2-Pes
dc.rights.accessRightsopenAccesses
dc.subject.keywordBasic hypergeometric functionses
dc.subject.keywordGenerating functionses
dc.subject.keywordQ-polynomialses
dc.volume.number10es


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