Finding identities and q-difference equations for new classes of bivariate q-matrix polynomials.
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| Title: | Finding identities and q-difference equations for new classes of bivariate q-matrix polynomials. |
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| Authors: | Khan, Subuhi1 (AUTHOR), Ali, Hassan1 (AUTHOR), Fadel, Mohammed2 (AUTHOR) mohdfadel80@gmail.com |
| Source: | Applied Mathematics in Science & Engineering. Dec2025, Vol. 33 Issue 1, p1-24. 24p. |
| Subjects: | Difference equations, Hermite polynomials |
| Abstract: | This article introduces 2-variable q-Hermite matrix polynomials and delves into their complex representation, unravelling specific outcomes. The exploration encompasses the derivation of insightful identities for the q-cosine and q-sine analogues of the 2-variable Hermite matrix polynomials by scrutinizing their real and imaginary components. Further, the combination of the q-Appell and 2-variable q-Hermite matrix polynomials is considered to generate the 2-variable q-Hermite–Appell matrix polynomials family. The investigation of the complex form and q-difference equations of this matrix polynomial family leads to the derivation of certain results. This study contributes to the understanding of these matrix polynomials and expands the realm of q-special functions. [ABSTRACT FROM AUTHOR] |
| Copyright of Applied Mathematics in Science & Engineering is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
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| Header | DbId: egs DbLabel: Engineering Source An: 190352363 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Finding identities and q-difference equations for new classes of bivariate q-matrix polynomials. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Khan%2C+Subuhi%22">Khan, Subuhi</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Ali%2C+Hassan%22">Ali, Hassan</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Fadel%2C+Mohammed%22">Fadel, Mohammed</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> mohdfadel80@gmail.com</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Applied+Mathematics+in+Science+%26+Engineering%22">Applied Mathematics in Science & Engineering</searchLink>. Dec2025, Vol. 33 Issue 1, p1-24. 24p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Difference+equations%22">Difference equations</searchLink><br /><searchLink fieldCode="DE" term="%22Hermite+polynomials%22">Hermite polynomials</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: This article introduces 2-variable q-Hermite matrix polynomials and delves into their complex representation, unravelling specific outcomes. The exploration encompasses the derivation of insightful identities for the q-cosine and q-sine analogues of the 2-variable Hermite matrix polynomials by scrutinizing their real and imaginary components. Further, the combination of the q-Appell and 2-variable q-Hermite matrix polynomials is considered to generate the 2-variable q-Hermite–Appell matrix polynomials family. The investigation of the complex form and q-difference equations of this matrix polynomial family leads to the derivation of certain results. This study contributes to the understanding of these matrix polynomials and expands the realm of q-special functions. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Applied Mathematics in Science & Engineering is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=190352363 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1080/27690911.2024.2446563 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 24 StartPage: 1 Subjects: – SubjectFull: Difference equations Type: general – SubjectFull: Hermite polynomials Type: general Titles: – TitleFull: Finding identities and q-difference equations for new classes of bivariate q-matrix polynomials. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Khan, Subuhi – PersonEntity: Name: NameFull: Ali, Hassan – PersonEntity: Name: NameFull: Fadel, Mohammed IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 12 Text: Dec2025 Type: published Y: 2025 Identifiers: – Type: issn-print Value: 27690911 Numbering: – Type: volume Value: 33 – Type: issue Value: 1 Titles: – TitleFull: Applied Mathematics in Science & Engineering Type: main |
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