2026/07/21 by An Huang, Pinhong Long, Halit Orhan +1
#math.CV
In this paper we first introduce a new class of derivative operators, termed g-derivative operators, which unifies the q-derivative, (p,q)-derivative and (α,β,γ)-derivative operators, even classical derivative in the literature. Based on this generalized framework, we define two novel function classes, specifically g-starlike functions and g-convex functions. Further, we employ the subordination principle of analytic functions to conduct the coefficient estimations for such function classes, and subsequently derive the bounds for the corresponding Fekete-Szegö inequality, Toeplitz determinants and Hankel determinants.