COEFFICIENT BOUNDS FOR Q-STARLIKE FUNCTIONS ASSOCIATED WITH Q-BERNOULLI NUMBERS
Journal of Applied Analysis and Computation, cilt.13, sa.4, ss.2354-2364, 2023 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 13 Sayı: 4
- Basım Tarihi: 2023
- Doi Numarası: 10.11948/20220566
- Dergi Adı: Journal of Applied Analysis and Computation
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
- Sayfa Sayıları: ss.2354-2364
- Anahtar Kelimeler: Analytic and univalent functions, q-derivative, q-starlike func-tions, q-Bernoulli numbers, Fekete-Szego inequality, Hankel determinant
- Atatürk Üniversitesi Adresli: Evet
Özet
This paper’s main goal is to introduce and study a subclass S∗ (b, q) of q-starlike functions in the unit disk defined by the q-Bernoulli numbers. We determine the coefficient bounds, the upper bounds for the Fekete-Szegö functional, and the second Hankel determinant for this subclass.