Resonant equations with classical orthogonal polynomials. I

• 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/1431
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

In the present paper, we study some resonant equations related to the classical orthogonal polynomials and propose an algorithm of finding their particular and general solutions in the explicit form. The algorithm is especially suitable for the computer algebra tools, such as Maple. The resonant equ...