COEFFICIENT BOUNDS FOR Q-STARLIKE FUNCTIONS ASSOCIATED WITH Q-BERNOULLI NUMBERS

Çağlar M., ORHAN H., Srivastava H. M.

Journal of Applied Analysis and Computation, cilt.13, sa.4, ss.2354-2364, 2023 (SCI-Expanded) identifier identifier identifier

  • 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, Fekete-Szegö inequality, Hankel determinant, q-Bernoulli numbers, q-derivative, q-starlike functions
  • 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.