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dc.contributor.author | Kelil, Abey S.![]() |
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dc.contributor.author | Jooste, Alta![]() |
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dc.contributor.author | Appadu, Appanah R.![]() |
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dc.date.accessioned | 2022-05-19T14:12:21Z | |
dc.date.available | 2022-05-19T14:12:21Z | |
dc.date.issued | 2021-04-24 | |
dc.description.abstract | This paper deals with monic orthogonal polynomials orthogonal with a perturbation of classical Meixner–Pollaczek measure. These polynomials, called Perturbed Meixner–Pollaczek polynomials, are described by their weight function emanating from an exponential deformation of the classical Meixner–Pollaczek measure. In this contribution, we investigate certain properties such as moments of finite order, some new recursive relations, concise formulations, differentialrecurrence relations, integral representation and some properties of the zeros (quasi-orthogonality, monotonicity and convexity of the extreme zeros) of the corresponding perturbed polynomials. Some auxiliary results for Meixner–Pollaczek polynomials are revisited. Some applications such as Fisher’s information, Toda-type relations associated with these polynomials, Gauss–Meixner– Pollaczek quadrature as well as their role in quantum oscillators are also reproduced. | en_US |
dc.description.department | Mathematics and Applied Mathematics | en_US |
dc.description.librarian | am2022 | en_US |
dc.description.sponsorship | The NMU Council postdoctoral fellowship | en_US |
dc.description.uri | https://www.mdpi.com/journal/mathematics | en_US |
dc.identifier.citation | Kelil, A.S.; Jooste, A.S.; Appadu, A.R. On Certain Properties and Applications of the Perturbed Meixner–PollaczekWeight. Mathematics 2021, 9, 955. https://DOI.org/10.3390/math9090955. | en_US |
dc.identifier.issn | 2227-7390 | |
dc.identifier.other | 10.3390/math9090955 | |
dc.identifier.uri | https://repository.up.ac.za/handle/2263/85585 | |
dc.language.iso | en | en_US |
dc.publisher | MDPI | en_US |
dc.rights | © 2021 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license. | en_US |
dc.subject | Orthogonal polynomials | en_US |
dc.subject | Meixner | en_US |
dc.subject | Perturbed Meixner–Pollaczek | en_US |
dc.subject | Moments | en_US |
dc.subject | Recurrence coefficients | en_US |
dc.subject | Difference equations | en_US |
dc.subject | Differential equations | en_US |
dc.subject | Zeros | en_US |
dc.title | On certain properties and applications of the perturbed Meixner–Pollaczek weight | en_US |
dc.type | Article | en_US |