Application of the Faber polynomials in proving combinatorial identities

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...

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Bibliographic Details
Date:2018
Main Authors: Imash, kyzy M., Abdullayev, F. G., Savchuk, V. V., Імаш, кизи М., Абдуллаєв, Ф. Г., Савчук, В. В.
Format: Article
Language:Ukrainian
Published: Institute of Mathematics, NAS of Ukraine 2018
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/1547
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal