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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| Date: | 2018 |
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| Main Authors: | , , , , , |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Institute of Mathematics, NAS of Ukraine
2018
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/1547 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: |  |
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Ukrains’kyi Matematychnyi Zhurnal| Summary: | 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 of Faber polynomials and the coefficients of Laurent expansions
of the corresponding conformal mappings. Some examples are presented. |
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