Salvato in:
| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2018
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/1804.11171 |
| Tags: |
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Sommario:
- In this study, we present a novel family of Meixner-type $d$-orthogonal polynomials, which are distinguished as a particular subset of multiple orthogonal polynomials. We demonstrate their connection to the Lie algebra $\mathfrak{su}(1,1)$ by identifying them as matrix elements of an appropriately defined nonlinear operator. Utilizing Barut-Girardello coherent states, we explicitly outline their key features, including recurrence relations, generating functions, and $d$-orthogonality relations, among others.