Gangadharan Murugusundaramoorthy†, Teodor Bulboacă‡
The purpose of this research is to unify and extend the study of the well-known concept of coefficient estimates for some subclasses of analytic functions. We define the new subclass A4L(ϑ) of analytic functions related to the four-leaf domain to increase the adaptability of our investigation. The initial findings are the bound estimates for the coefficients |an|, n = 2, 3. Furthermore, we obtain the Fekete–Szeg˝o functional and provide an estimation of the Krushkal inequality for the function class A4L(ϑ). In addition, we discussed initial coefficients and Fekete-Szeg˝o type inequalities for functions of the form f −1 and z f(z) and 1 2 log f(z) z linked to the function of the four leaves.
Keywords: univalent functions, starlike and convex functions of some order, subordination, four-leaf function, coefficient inequalities, Krushkal inequality, Fekete-Szeg˝o functional.
MSC: 30C45, 30C50, 30C80.
DOI 10.56082/annalsarscimath.2025.2.93
† gmsmoorthy@yahoo.com, Department of Mathematics, Vellore Institute of Technology (VIT), Vellore-632014, TN., India
‡ teodor.bulboaca@ubbcluj.ro, Reseach Center of Applied Analysis, Faculty of Mathematics and Computer Science, Babe¸s-Bolyai University, 400084 Cluj-Napoca, Romania
PUBLISHED in Annals Academy of Romanian Scientists Series on Mathematics and Its Application, Volume 17 no 2, 2025
