Derivations and identities for the Chebyshev polynomials

• Дата: 2021
• Автори: Bedratyuk , L. P., Lunio, N. B., Бедратюк, Л. П., Луньо, Н. Б.
• Формат: Стаття
• Мова: Українська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2021
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/2380
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

UDC 519.114; 512.622We introduce the notion of Chebyshev derivations of the first and second kinds based on the polynomial algebra andcorresponding specific differential operators, derive the elements of their kernels, and prove that any element of the kernelof the derivations defines a polynomial i...