| dc.contributor.author | Mohra Zayed | |
| dc.contributor.author | Waseem Ahmad Khan | |
| dc.contributor.author | Cheon Seoung Ryoo | |
| dc.contributor.author | Ugur Duran | |
| dc.contributor.other | Mathematics Department, College of Science, King Khalid University, Abha 61413, Saudi Arabia | |
| dc.contributor.other | Department of Electrical Engineering, Prince Mohammad Bin Fahd University, P.O Box 1664, Al Khobar 31952, Saudi Arabia | |
| dc.contributor.other | Department of Mathematics, Hannam University, Daejeon 34430, South Korea | |
| dc.contributor.other | Department of Basic Sciences of Engineering, Iskenderun Technical University, Hatay 31200, Turkiye | |
| dc.date.accessioned | 2025-08-27T02:32:22Z | |
| dc.date.accessioned | 2025-10-08T09:10:00Z | |
| dc.date.available | 2025-10-08T09:10:00Z | |
| dc.date.issued | 01-06-2025 | |
| dc.identifier.uri | https://www.aimspress.com/article/doi/10.3934/math.2025577 | |
| dc.identifier.uri | http://digilib.fisipol.ugm.ac.id/repo/handle/15717717/39111 | |
| dc.description.abstract | In this paper, we employed the $ q $-Bessel Tricomi functions of zero-order to introduce bivariate extended $ q $-Laguerre-based Appell polynomials. Then, the bivariate extended $ q $-Laguerre-based Appell polynomials were established in the sense of quasi-monomiality. We examined some of their properties, such as $ q $-multiplicative operator property, $ q $-derivative operator property and two $ q $-integro-differential equations. Additionally, we acquired $ q $-differential equations and operational representations for the new polynomials. Moreover, we drew the zeros of the bivariate extended $ q $-Laguerre-based Bernoulli and Euler polynomials, forming 2D and 3D structures, and provided a table including approximate zeros of the bivariate extended $ q $-Laguerre-based Bernoulli and Euler polynomials. | |
| dc.language.iso | EN | |
| dc.publisher | AIMS Press | |
| dc.subject.lcc | Mathematics | |
| dc.title | An exploratory study on bivariate extended $ q $-Laguerre-based Appell polynomials with some applications | |
| dc.type | Article | |
| dc.description.keywords | quasi monomiality | |
| dc.description.keywords | extension of monomiality principle | |
| dc.description.keywords | quantum calculus | |
| dc.description.keywords | $ q $-laguerre polynomials | |
| dc.description.keywords | $ q $-dilatation operator | |
| dc.description.keywords | $ q $-laguerre-based appell polynomials | |
| dc.description.pages | 12841-12867 | |
| dc.description.doi | 10.3934/math.2025577 | |
| dc.title.journal | AIMS Mathematics | |
| dc.identifier.e-issn | 2473-6988 | |
| dc.identifier.oai | oai:doaj.org/journal:133113664d7c4837ba95bc5f46bd916e | |
| dc.journal.info | Volume 10, Issue 6 | |
