Radii of the $\beta -$uniformly convex of order $\alpha$ of Lommel and Struve functions

Abstract

In this paper, we determine the radii of $\beta -$uniformly convex of order $\alpha$ for three kinds of normalized Lommel and Struve functions of the first kind. In the cases considered the normalized Lommel and Struve functions are $\beta -$uniformly convex functions of order $\alpha$ on the determined disks. The basic tool of this study is Lommel and Struve functions in series.

18 pages. arXiv admin note: text overlap with arXiv:1410.5217 by other authors