A number of families of q-extensions of analytic functions in the open unit disk $\mathbb{U}$ have been defined by means of basic (or q-)calculus and considered from many distinctive prospectives and viewpoints. In this paper, we generalize and study certain subclasses of analytic functions involving higher-order q-derivative operators. We settle characteristic equations for these presumably new classes and also study numerous coefficient inequalities. For the results obtained in this presentation, we also carry out appropriate connections with those in multiple other concerning works on this subject.

中文翻译：

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与圆锥域相关的多价函数的某些子类的系数不等式

通过基本（或q-）演算定义了开放单位磁盘$ \ mathbb {U} $中分析函数的q扩展的许多族，并从许多独特的前景和观点中进行了研究。在本文中，我们归纳并研究了涉及高阶q导数算子的解析函数的某些子类。我们为这些大概的新类建立了特征方程，并研究了许多系数不等式。对于本演示文稿中获得的结果，我们还与该主题的其他相关作品进行了适当的联系。