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首页> 外文期刊>International Journal of Applied Mathematics and Theoretical Physics >Some Properties of Multivalent Analytic Starlike Function Subordinated with Cosine Hyperbolic Function
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Some Properties of Multivalent Analytic Starlike Function Subordinated with Cosine Hyperbolic Function

机译：余弦双曲函数镇定多价分析颗粒函数的一些性质

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Abdullah Alotaibi defined a starlike function connected with a cosine hyperbolic function in the year 2020. We establish some appropriate conditions for several features of multivalent analytic starlike function subordinated with cosine hyperbolic function in this article. We determine conditions on are subordinated by Janowski function. We acquire some suitable conditions by selecting specific values for functions we get some adequate conditions for multivalent starlik function related with cosine hyperbolic. Over the last decade, starlike functions have grown in popularity in both literature and application. Our goal in this work is look at some practical challenges with q-starlike functions. Moreover, we will show that the class described in this research, as well as the results gained, generalizes numerous previously published papers. We need to add some fundamental Geometric function theory literature here to comprehend the notions employed in our work in a straightforward way. To do so, we'll start with the notation, which signifies the class of holomorphic or analytic functions in the holomorphic or analytic functions. Then the relationships must be stable. In addition, all univalent functions will belong to the subfamily. Furthermore, the possibility of subjections between analytic functions and, as shown by, as; the functions, are related by the connection of subjection, if there exists an analytic function with restrictions and such that in addition, if the function is in, we get The aim of this paper is to define a family of multivalent q-starlike functions associated with circular domains and to study some of its useful properties of multivalent analytic functions subordinated cosine hyperbolic function.
机译：Abdullah Alotaibi在2020年确定了与余弦双曲函数相关的星状功能。我们在本文中为多价分析星形功能下降的多价分析星形功能的几个特征建立了一些适当的条件。我们确定janowski函数下属的条件。通过选择功能的特定值，我们获得了一些合适的条件，我们获得了与余弦双曲线相关的多价Starlik函数的一些足够的条件。在过去十年中，星际函数在文学和应用中都在普及。我们在这项工作中的目标是与Q-Starlike功能的一些实际挑战。此外，我们将显示本研究中描述的类，以及获得的结果，概括了众多先前公布的论文。我们需要在这里添加一些基本的几何函数理论文学，以理解我们工作中所采用的概念，直接的方式。为此，我们将从符号开始，表示在全统称或分析功能中的全统称或分析功能的类别。然后，关系必须稳定。此外，所有单价职能都属于亚家族。此外，分析函数与如下所示的权力的可能性。这些功能是由子分析的连接相关的，如果存在具有限制的分析函数，并且此外，如果函数在，则我们得到本文的目的是定义一个相关的多价Q-Starlike函数的系列利用圆形域并研究其次级余弦双曲函数的多价分析函数的一些有用特性。

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