On the Fekete-Szeg o Problem for a Class of Analytic Functions

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The Fekete-Szeg¨o inequality for a subclass H(α,λ, A, B) of the class H of nor-malized analytic functions is studied. For each f (z) = z+∞P n=2 anzn ∈ H(α,λ, A, B), the sharp upper bounds of|a3?a22|for any complex parameter u are obtained by using the fun-damental inequalities of analytic functions and analytical techniques and the applications of the inequality of functions defined with Hadamard product are proved.
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