Upper bound of second Hankel determinant for certain subclasses of analytic functions
Summary: In this present investigation, we first give a survey of the work done so far in this area of Hankel determinant for univalent functions. Then the upper bounds of the second Hankel determinant \(| a_2 a_4 - a_3^2 |\) for functions belonging to the subclasses \(S(\alpha, \beta)\), \(K(\alpha, \beta)\), \(S_s^\ast(\alpha, \beta)\), and \(K_s(\alpha, \beta)\) of analytic functions are studied. Some of the results, presented in this paper, would extend the corresponding results of earlier authors.
scientific article; zbMATH DE number 7022704
scientific article