In 1981, Robertson [16] pointed out that although the class of starlike functions with respect to order \(\alpha ( 0 \le \alpha <1)\) has been explored extensively by many authors over a long period of time, not much seems to be known about the class of analytic functions G(z) that map the open unit disc \(\Delta \) onto a domain \({\mathcal {D}}\) that are starlike with respect to a boundary point. This breakthrough concept was introduced by him. Following this work, there are interesting articles (not more than two dozen in almost 4 decades) that have appeared as shown in the literature. However, an extensive exploration is yet to be done on this concept. In this present investigation, a new class of functions based on the concept of spirallike domains with respect to a boundary point introduced by Aharanov et al. [2] is considered. Further, a systematic investigation of the class under consideration is being done in this article. The author sincerely expects that this article might fetch a direction to consider other related classes in this concept in the foreseeable future.

中文翻译：

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关于涉及类螺旋函数的边界点的密切​​相关类

1981年，Robertson [16]指出，尽管很长一段时间以来，许多作者都广泛探索了关于阶\（\ alpha（0 \ le \ alpha <1）\）的星形函数类别，关于解析函数G（z）的类别似乎已广为人知，该函数将开放单位光盘\（\ Delta \）映射到域\（{\ mathcal {D}} \）相对于边界点来说像星星一样。他介绍了这一突破性的概念。继这项工作之后，出现了一些有趣的文章（在近4年中不超过二十篇），如文献所示。然而，关于这一概念尚待广泛探索。在本研究中，由Aharanov等人提出的基于关于边界点的螺旋状域概念的一类新功能。考虑[2]。此外，本文正在对所考虑的类进行系统的调查。作者真诚地希望，本文可以在可预见的将来找到一个方向，以考虑此概念中的其他相关类。