Radii of k-starlikeness of order α of Struve and Lommel functions

[摘要] In the present work our main objective is to determine the radii of k− starlikeness of order α of the some normalized Struve and Lommel functions of the first kind. Furthermore it has been shown that the obtained radii satisfy some functional equations. The main key tool of our proofs are the Mittag-Leffler expansions of the Struve and Lommel functions of the first kind and minimum principle for harmonic functions. Also we take advantage of some basic inequalities in the complex analysis.

[学科分类] 数学（综合）

[关键词] k-starlike functions;radius of k-starlikeness of order α;Mittag-Leffler expansions;Lommel and Struve functions