# Coefficient bounds for close-to-convex functions associated with vertical strip domain

## TL;DR

This paper introduces a new class of close-to-convex functions associated with a strip domain, deriving coefficient bounds and connecting these results with prior research in univalent function theory.

## Contribution

The paper defines a novel class of close-to-convex functions via a differential equation related to strip domains and establishes their coefficient bounds.

## Key findings

- Derived coefficient bounds for the new class of functions.
- Connected new results with existing univalent function theory.
- Expanded understanding of close-to-convex functions in strip domains.

## Abstract

By considering a certain univalent function in the open unit disk U, that maps 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.