Hankel and Toeplitz determinants for a subclass of analytic functions

Let the function f( z ) =z+∑ₖ₌₂∞aₖz ᵏ∈ A be locally univalent for z ∈ D%:= ∈ C:|z |<1\ and 0≤α<1.Then, f\ ∈ M(α ) if and only if {equation*}( ( 1-z ²) f(z )/z ) >α, z ∈ D.{equation*}%Due to their geometrical characteristics, this class has a significantimpact on the theory of geometric functions. In the article we obtain sharp bounds for the second Hankel determinant {equation*} H₂( 2) ( f) =₂a₄-{a₃²} {equation*}and some Toeplitz determinants {equation*} {T}₃( 1) ( f) = 1-2%{a₂²}+2{a₂²}a₃-{a₃²},\ \ {T}₃( 2) ( f) = {%a₂³}-2a₂{a₃²}+2{a₃²}a₄-a₂{a₄²} {equation*}of a subclass of analytic functions M(α ) in the open unit disk %D.