DefinePK

Abstract

One of the most crucial problems in geometric function theory is the study of the Hankel determinant generated by the Maclaurin series of analytic functions that belong to particular classes of normalized univalent functions. Our goal in this study is first to define a family of convex functions associated with Zigzag coefficients and then to investigate bounds of initial coefficients, Fekete-Szegö inequality, second and third-order Hankel determinants. Further, we also examine the logarithmic coefficients of functions within a defined family regarding recent issues.Mathematics Subject Classification.30C45, 30C50.