Resonant equations with classical orthogonal polynomials. II

• Date: 2019
• Main Authors: Gavrilyuk, I. P., Makarov, V. L., Гаврилюк, І. П., Макаров, В. Л.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2019
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1451
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.9 We study some resonant equations related to the classical orthogonal polynomials on infinite intervals, i.e., the Hermite and the Laguerre orthogonal polynomials, and propose an algorithm of finding their particular and general solutions in the closed form. The algorithm is especially su...