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arXiv · 2507.13583

On the Meixner-Pollaczek polynomials and the Sturm-Liouville problems

Mourad E. H. Ismail·Nasser Saad
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Abstract

This work provides a detailed study of Meixner-Pollaczek polynomials and employs the central difference operator to study the Sturm-Liouville problem. It presents two linearly independent solutions to the recursion relation, along with the associated difference equations. Additionally, the establishment of second-kind functions is discussed.

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Mourad E. H. Ismail, Nasser Saad. 2025-07-18. On the Meixner-Pollaczek polynomials and the Sturm-Liouville problems. https://doi.org/10.1016/j.jmaa.2025.129794

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