| Abstrakt: |
The present extensive study is focused to find estimates for the upper bounds of the Toeplitz determinants. The logarithmic coefficients of univalent functions play an important role in different estimates in the theory of univalent functions, and in the this paper we derive the estimates of Toeplitz determinants and Toeplitz determinants of the logarithmic coefficients for the subclasses LsSqp, LsC qp, and LsSqp ∩ S, LsC q p ∩ S, 0 < q ≤ p ≤ 1, respectively, defined by post quantum operators, which map the open unit disc D onto the domain bounded by the lima¸con curve defined by ∂Ds := { u + iv ∈ C : (u − 1)² + v 2 − s4 } = 4s² (u − 1 + s² ) ² + v² o, where s ∈ [−1, 1] \ {0}. [ABSTRACT FROM AUTHOR] |
