FABER POLYNOMIAL COEFFICIENT ESTIMATES OF BI-UNIVALENT FUNCTIONS CONNECTED WITH THE q-CONVOLUTION

El-Deeb, Sheza; BULUT, SERAP

doi:10.21136/mb.2022.0173-20

FABER POLYNOMIAL COEFFICIENT ESTIMATES OF BI-UNIVALENT FUNCTIONS CONNECTED WITH THE q-CONVOLUTION

El-Deeb S. M., BULUT S.

MATHEMATICA BOHEMICA, cilt.148, ss.49-64, 2023 (ESCI, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 148
Basım Tarihi: 2023
Doi Numarası: 10.21136/mb.2022.0173-20
Dergi Adı: MATHEMATICA BOHEMICA
Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH, Directory of Open Access Journals
Sayfa Sayıları: ss.49-64
Anahtar Kelimeler: Faber polynomial, bi-univalent function, convolution, q-derivative operator, EXPANSION METHOD, SUBCLASS, BOUNDS
Kocaeli Üniversitesi Adresli: Evet

Özet

We introduce a new class of bi-univalent functions defined in the open unit disc and connected with a q-convolution. We find estimates for the general Taylor-Maclaurin coefficients of the functions in this class by using Faber polynomial expansions and we obtain an estimation for the Fekete-Szego problem for this class.