Communications of the
Korean Mathematical Society CKMS

In this article, by making use of the $\lambda$-pseudo-starlike functions, we introduce a certain family of normalized analytic functions in the open unit disk $U$ and we establish coefficient estimates for the first four determinants of the Toeplitz matrices $T_{2}(2)$, $T_{2}(3)$, $T_{3}(2)$ and $T_{3}(1)$ for the functions belonging to this family. Further, some known and new results which follow as special cases of our results are also mentioned.

Keywords: Univalent functions, $\lambda$-pseudo-starlike
functions, coefficient estimates, Toeplitz matrices

MSC numbers: 30C20, 30C45