Sufficient conditions are obtained on the parameters of Lommel function of the first kind, generalized Struve function of the first kind, and the confluent hypergeometric function under which these special functions become exponential convex and exponential starlike in the open unit disk. The method of differential subordination is employed in proving the results. Few examples are also provided to illustrate the results obtained.

中文翻译：

---

汇合的超几何，洛梅尔和舒特函数的指数星形和凸性

在第一类Lommel函数，第一类广义Struve函数以及合流超几何函数的参数上获得了充分的条件，在这些条件下，这些特殊函数在打开的单位圆盘中变为指数凸和指数星形。结果证明采用微分从属的方法。还提供了一些示例来说明获得的结果。