ON THE LIMIT OF DISCRETE q-HERMITE I POLYNOMIALS
| dc.contributor.author | Alwhishi, Sakina | |
| dc.contributor.author | Adıgüzel, Rezan Sevinik | |
| dc.contributor.author | Turan, Mehmet | |
| dc.date.accessioned | 2024-07-05T15:28:16Z | |
| dc.date.available | 2024-07-05T15:28:16Z | |
| dc.date.issued | 2019 | |
| dc.description.abstract | The main purpose of this paper is to introduce the limit relationsbetween the discrete q-Hermite I and Hermite polynomials such that the orthogonality property and the three-terms recurrence relations remain valid.The discrete q-Hermite I polynomials are the q-analogues of the Hermite polynomials which form an important class of the classical orthogonal polynomials.The q-di§erence equation of hypergeometric type, Rodrigues formula and generating function are also considered in the limiting case. | en_US |
| dc.identifier.doi | 10.31801/cfsuasmas.529703 | |
| dc.identifier.issn | 1303-5991 | |
| dc.identifier.issn | 2618-6470 | |
| dc.identifier.uri | https://doi.org/10.31801/cfsuasmas.529703 | |
| dc.identifier.uri | https://search.trdizin.gov.tr/tr/yayin/detay/379425/on-the-limit-of-discrete-q-hermite-i-polynomials | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/2751 | |
| dc.language.iso | en | en_US |
| dc.publisher | Ankara Univ, Fac Sci | en_US |
| dc.relation.ispartof | Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.title | ON THE LIMIT OF DISCRETE q-HERMITE I POLYNOMIALS | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.wosid | Turan, Mehmet/JYQ-4459-2024 | |
| gdc.author.wosid | Sevinik-Adiguzel, Rezan/KMA-1274-2024 | |
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| gdc.coar.access | open access | |
| gdc.coar.type | text::journal::journal article | |
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| gdc.description.department | Atılım University | en_US |
| gdc.description.departmenttemp | Yabancı Kurumlar,ATILIM ÜNİVERSİTESİ,ATILIM ÜNİVERSİTESİ | en_US |
| gdc.description.endpage | 2282 | en_US |
| gdc.description.issue | 2 | en_US |
| gdc.description.publicationcategory | Makale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.startpage | 2272 | en_US |
| gdc.description.volume | 68 | en_US |
| gdc.description.wosquality | Q3 | |
| gdc.identifier.openalex | W2965709028 | |
| gdc.identifier.trdizinid | 379425 | |
| gdc.identifier.wos | WOS:000488869500086 | |
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| gdc.oaire.keywords | Hermite polynomials | |
| gdc.oaire.keywords | Discrete q-Hermite I polynomials | |
| gdc.oaire.keywords | Applied Mathematics | |
| gdc.oaire.keywords | Uygulamalı Matematik | |
| gdc.oaire.keywords | Discrete q-Hermite I polynomials;Hermite polynomials;Rodrigues formula | |
| gdc.oaire.keywords | Rodrigues formula | |
| gdc.oaire.keywords | Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) | |
| gdc.oaire.keywords | discrete \(q\)-Hermite I polynomials | |
| gdc.oaire.keywords | Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) | |
| gdc.oaire.keywords | \(q\)-difference equation of hypergeometric type | |
| gdc.oaire.popularity | 1.9273823E-9 | |
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| gdc.oaire.sciencefields | 0103 physical sciences | |
| gdc.oaire.sciencefields | 0101 mathematics | |
| gdc.oaire.sciencefields | 01 natural sciences | |
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| gdc.virtual.author | Turan, Mehmet | |
| gdc.virtual.author | Sevinik Adıgüzel, Rezan | |
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