Universally prestarlike functions associated with shell like domain

Abstract

In this paper, we introduce universally prestarlike generalized functions of order $\vartheta $ with $\vartheta \leq 1$ associated with shell like domain, and we get coefficient bounds and the second Hankel determinant $|a_{2}a_{4}-a_{3}^{2}|$ for such functions.

Keywords

• analytic functions; prestarlike functions; universally prestarlike functions; second hankel determinant