COEFFICIENT ESTIMATE OF THE SECOND HANKEL DETERMINANT OF LOGARITHMIC COEFFICIENTS FOR THE SUBCLASS OF CLOSE-TO-CONVEX FUNCTION

COEFFICIENT ESTIMATE OF THE SECOND HANKEL DETERMINANT OF LOGARITHMIC COEFFICIENTS FOR THE SUBCLASS OF CLOSE-TO-CONVEX FUNCTION

S. Cik Soh, D. Mohamad, H. Dzubaidi

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Abstract

Let S denote the subclass of the analytic function and univalent functions in D, where D is de ned as a unit disk, and having the Taylor representation form of S. In this paper, we will be obtaining the second Hankel determinants, in which the elements are the logarithmic coe cients mainly for the subclass of the close-to-convex functions in S.

Keywords

Univalent functions, Analytic functions, Second Hankel determinant, Logarithmic coe cients, Close-to-convex function.