Application of the Faber polynomials in proving combinatorial identities

• Datum: 2018
• Hauptverfasser: Imash, kyzy M., Abdullayev, F. G., Savchuk, V. V., Імаш, кизи М., Абдуллаєв, Ф. Г., Савчук, В. В.
• Format: Artikel
• Sprache: Ukrainisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2018
• Online Zugang: 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...