Coefficient Bounds for the General Subclasses of Close-to-Convex Functions of Complex Order

BULUT S.

Turkish Journal of Mathematics and Computer Science, vol.16, no.1, pp.162-168, 2024 (Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 16 Issue: 1
  • Publication Date: 2024
  • Doi Number: 10.47000/tjmcs.1338657
  • Journal Name: Turkish Journal of Mathematics and Computer Science
  • Journal Indexes: Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.162-168
  • Keywords: Analytic function, close-to-convex function, non-homogenous Cauchy-Euler differential equation
  • Kocaeli University Affiliated: Yes

Abstract

In this study, we introduce two new subclasses of close-to-convex functions of complex order, which are introduced here by means of a certain non-homogenous Cauchy-Euler-type differential equation of order m, and determine the coefficient bounds for functions belonging to these new classes.