On the Meixner-Pollaczek polynomials and the Sturm-Liouville problems
arXiv:2507.13583 · doi:10.1016/j.jmaa.2025.129794
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.
9 pages