ON A CERTAIN SUBCLASS OF ANALYTIC FUNCTIONS DEFINED BY q-SĂLĂGEAN OPERATOR ASSOCIATED WITH OPERATOR ON HILBERT SPACE


BULUT S.

Mathematica Bohemica, vol.150, no.3, pp.359-370, 2025 (ESCI, Scopus)

  • Publication Type: Article / Article
  • Volume: 150 Issue: 3
  • Publication Date: 2025
  • Doi Number: 10.21136/mb.2024.0006-24
  • Journal Name: Mathematica Bohemica
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH, Directory of Open Access Journals
  • Page Numbers: pp.359-370
  • Keywords: analytic function, coefficient estimates, Hadamard product, Hilbert space operator
  • Kocaeli University Affiliated: Yes

Abstract

Using a Hilbert space operator, we define a new subclass of analytic functions defined by p-valent q-Sălăgean operator and determine coefficient estimates, distortion bounds, radii of close-to-convexity, starlikeness, and convexity for the functions in this class. We also investigate extreme points and the modified Hadamard product.