In this paper, the products of modified Bessel functions of the first kind are considered. Our main aim is to provide various conditions so that these products have certain geometric properties such as starlikeness, convexity, and close to convexity (univalency) with respect to certain functions in the unit disk. Subordinating factor sequences for these products are also obtained. Interesting consequences are provided. The results obtained are new in the literature.

中文翻译：

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第一类修正贝塞尔函数乘积的几何性质

本文考虑了第一类经过修改的贝塞尔函数的乘积。我们的主要目的是提供各种条件，以使这些产品相对于单位磁盘中的某些功能具有某些几何特性，例如星形，凸度和接近凸度（均等）。还获得了这些产物的从属因子序列。提供了有趣的结果。获得的结果是文献中的新内容。