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] |
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| Database: | Engineering Source |
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| 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] |
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| ISSN: | 27690911 |
| DOI: | 10.1080/27690911.2024.2446563 |
