Finding identities and q-difference equations for new classes of bivariate q-matrix polynomials
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 scrut...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Taylor & Francis Group
2025-12-01
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| Series: | Applied Mathematics in Science and Engineering |
| Subjects: | |
| Online Access: | https://www.tandfonline.com/doi/10.1080/27690911.2024.2446563 |
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| Summary: | 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. |
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| ISSN: | 2769-0911 |