Generalization of resonance equations for the Laguerre- and Legendre-type polynomials to the fourth-order equations

• Дата: 2026
• Автори: Bandyrskii, B. I., Makarov, V. L., Romaniuk, N. M., Бандирський, Б. Й., Макаров, В. Л., Романюк, Н. М.
• Формат: Стаття
• Мова: Українська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2026
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/1533
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.587 A recurrent algorithm for finding particular solutions of а fourth-order resonance equation connected with the generalization of Laguerre and Legendre polynomials is constructed and substantiated. For this purpose, we use the general theorem on the representation of partial solutions of...