Abstract
This research aims to present and study the convex subclasses and starlike functions of the analytic functions defined in the open unit disk Ư and to investigate the third-order Hankel determinant H3,1 for these subclasses related to the exponential function. As well as the upper bounds of H2,2 (g) and H3,1 (g) for the convex and starlike functions, and the estimates of the coefficients |d3|,|d4|, and |d5| were obtained.
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