Application of the Faber polynomials in proving combinatorial identities

• Дата: 2018
• Автори: Imash, kyzy M., Abdullayev, F. G., Savchuk, V. V., Імаш, кизи М., Абдуллаєв, Ф. Г., Савчук, В. В.
• Формат: Стаття
• Мова: Українська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2018
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/1547
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We study the possibility of application of the Faber polynomials in proving some combinatorial identities. It is shown that the coefficients of Faber polynomials of mutually inverse conformal mappings generate a pair of mutually invertible relations. We prove two identities relating the coefficients...