Faber polynomials with common zero

ABDULLAYEV, FAHREDDİN; Imashkyzy, M.; Savchuk, V.V.

doi:10.1007/s13324-020-00461-5

Faber polynomials with common zero

ABDULLAYEV F., Imashkyzy M., Savchuk V.

Analysis and Mathematical Physics, cilt.11, sa.1, 2021 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 11 Sayı: 1
Basım Tarihi: 2021
Doi Numarası: 10.1007/s13324-020-00461-5
Dergi Adı: Analysis and Mathematical Physics
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
Anahtar Kelimeler: Faber polynomials, Lambert function, Univalent functions
Uşak Üniversitesi Adresli: Hayır

Özet

We describe the set of meromorphic univalent functions in the class Σ , for which the sequence of the Faber polynomials {Fj}j=1∞ have the roots with following properties |Fn(z0)|>0=∑j=1j≠n|Fj(z0)|. For such functions we found an explicit form of the Faber polynomials as well as we discussed some properties.