Certain geometric properties of modified lommel functions

Abstract

In this article, we find some sufficient conditions under which the modified Lommel function is close-to-convex with respect to-log(1-z) and 1/2 log (1+z/1-z). Starlikeness, convexity and uniformly close-to-convexity of the modified Lommel function are also discussed. Some results related to the H. Silverman are also the part of our investigation.