Communications of the
Korean Mathematical Society CKMS

By considering a certain univalent function in the open unit disk $\mathbb{U} $, that maps $\mathbb{U}$ onto a strip domain, we introduce a new class of analytic and close-to-convex functions by means of a certain non-homogeneous Cauchy-Euler-type differential equation. We determine the coefficient bounds for functions in this new class. Relevant connections of some of the results obtained with those in earlier works are also provided.

Keywords: Analytic functions, close-to-convex functions, coefficient bounds, subordination, non-homogeneous Cauchy-Euler differential equation

MSC numbers: Primary 30C45; Secondary 30C50