Let f be analytic in the unit disk \({\mathbb {D}}=\{z\in {\mathbb {C}}:|z|<1 \}\), and \({\mathcal {S}}\) be the subclass of normalized univalent functions given by \(f(z)=z+\sum _{n=2}^{\infty }a_n z^n\) for \(z\in {\mathbb {D}}\). We give bounds for \(| |a_3|-|a_2| | \) for the subclass \({\mathcal B}(\alpha ,i \beta )\) of generalized Bazilevič functions when \(\alpha \ge 0\), and \(\beta \) is real.

中文翻译：

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Bazilevič函数系数的差异

设f为单位磁盘\（{\ mathbb {D}} = \ {z \ in {\ mathbb {C}}：| z | <1 \} \）和\（{\ mathcal {S} } \）是由下式给出归一化的一价函数的子类\（F（Z）= Z + \总和_ {N = 2} ^ {\ infty} A_Nž^ N \）为\（Z \在{\ mathbb {d }} \）。我们给出界限\（| | A_3 | - | A_2 | | \）为子类\（{\ mathcal B}（\α，I \测试版）\）的广义Bazilevič函数时\（\阿尔法\ GE 0 \ ）和\（\ beta \）是真实的。