On the Orthogonality of the Q-Derivatives of the Discrete Q-Hermite I Polynomials

dc.authorscopusid 57464662300
dc.authorscopusid 58628472300
dc.authorscopusid 35782583700
dc.contributor.author Alwhishi,S.
dc.contributor.author Adigüzel,R.S.
dc.contributor.author Turan,M.
dc.contributor.other Mathematics
dc.date.accessioned 2024-07-05T15:45:22Z
dc.date.available 2024-07-05T15:45:22Z
dc.date.issued 2019
dc.department Atılım University en_US
dc.department-temp Alwhishi S., El Mergib University, Libya; Adigüzel R.S., Middle East Technical University (METU) in Turkey, Ankara University, Turkey; Turan M., Mathematics Department, Atilim University, Turkey en_US
dc.description.abstract Discrete q-Hermite I polynomials are a member of the q-polynomials of the Hahn class. They are the polynomial solutions of a second order difference equation of hypergeometric type. These polynomials are one of the q-analogous of the Hermite polynomials. It is well known that the q-Hermite I polynomials approach the Hermite polynomials as q tends to 1. In this chapter, the orthogonality property of the discrete q-Hermite I polynomials is considered. Moreover, the orthogonality relation for the k-th order q-derivatives of the discrete q-Hermite I polynomials is obtained. Finally, it is shown that, under a suitable transformation, these relations give the corresponding relations for the Hermite polynomials in the limiting case as q goes to 1. © 2020, IGI Global. en_US
dc.identifier.citationcount 0
dc.identifier.doi 10.4018/978-1-7998-0134-4.ch007
dc.identifier.endpage 162 en_US
dc.identifier.isbn 978-179980136-8
dc.identifier.isbn 978-179980134-4
dc.identifier.scopus 2-s2.0-85108329335
dc.identifier.startpage 135 en_US
dc.identifier.uri https://doi.org/10.4018/978-1-7998-0134-4.ch007
dc.identifier.uri https://hdl.handle.net/20.500.14411/3909
dc.institutionauthor Turan, Mehmet
dc.language.iso en en_US
dc.publisher IGI Global en_US
dc.relation.ispartof Emerging Applications of Differential Equations and Game Theory en_US
dc.relation.publicationcategory Kitap Bölümü - Uluslararası en_US
dc.rights info:eu-repo/semantics/closedAccess en_US
dc.scopus.citedbyCount 1
dc.subject [No Keyword Available] en_US
dc.title On the Orthogonality of the Q-Derivatives of the Discrete Q-Hermite I Polynomials en_US
dc.type Book Part en_US
dspace.entity.type Publication
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relation.isOrgUnitOfPublication 31ddeb89-24da-4427-917a-250e710b969c
relation.isOrgUnitOfPublication.latestForDiscovery 31ddeb89-24da-4427-917a-250e710b969c

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