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

Çağlar M., ORHAN H., Srivastava H. M.

Journal of Applied Analysis and Computation, vol.13, no.4, pp.2354-2364, 2023 (SCI-Expanded) identifier identifier identifier

  • Publication Type: Article / Article
  • Volume: 13 Issue: 4
  • Publication Date: 2023
  • Doi Number: 10.11948/20220566
  • Journal Name: Journal of Applied Analysis and Computation
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Page Numbers: pp.2354-2364
  • Keywords: Analytic and univalent functions, Fekete-Szegö inequality, Hankel determinant, q-Bernoulli numbers, q-derivative, q-starlike functions
  • Ataturk University Affiliated: Yes

Abstract

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.