The estimates for the second Hankel determinant a 2 a 4 ? a 3 2 of the analytic function f ( z ) = z + a 2 z 2 + a 3 z 3 + ? ?, for which either z f ′ ( z ) / f ( z ) or 1 + z f ″ ( z ) / f ′ ( z ) is subordinate to a certain analytic function, are investigated. The estimates for the Hankel determinant for two other classes are also obtained. In particular, the estimates for the Hankel determinant of strongly starlike, parabolic starlike and lemniscate starlike functions are obtained. MSC:30C45, 30C80.
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机译：第二个Hankel行列式a 2 a 4？的估计。解析函数f（z）= z + a 2 z 2 + a 3 z 3 +的a 3 2？对于z f'（z）/ f（z）或1 + z f''（z）/ f'（z）服从特定解析函数的α，进行了研究。还获得了另外两个类别的汉克尔行列式的估计。特别是，获得了强星型，抛物型星型和lemniscate星型函数的汉克行列式的估计。 MSC：30C45、30C80。
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