In this paper, the third Hankel determinant for the class N of functions convex in one direction is estimated. An analogous problem is solved for a subclass of N consisting… Click to show full abstract
In this paper, the third Hankel determinant for the class N of functions convex in one direction is estimated. An analogous problem is solved for a subclass of N consisting of functions with real coefficients. Additionally, this determinant for odd functions in N is estimated. Moreover, similar results are obtained in the relative class M consisting of functions zf′(z), where f∈N. The majority of bounds is sharp.
               
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