TY - JOUR
AU - kyzy M. Imash
AU - F. G. Abdullayev
AU - V. V. Savchuk
PY - 2018/02/25
Y2 - 2020/12/03
TI - Application of the Faber polynomials in proving
combinatorial identities
JF - Ukrainsâ€™kyi Matematychnyi Zhurnal
JA - Ukr. Mat. Zhurn.
VL - 70
IS - 2
SE - Research articles
DO -
UR - http://umj.imath.kiev.ua/index.php/umj/article/view/1547
AB - We study the possibility of application of the Faber polynomials in proving some combinatorial identities. It is shownthat the coefficients of Faber polynomials of mutually inverse conformal mappings generate a pair of mutually invertiblerelations. We prove two identities relating the coefficients of Faber polynomials and the coefficients of Laurent expansionsof the corresponding conformal mappings. Some examples are presented.
ER -