Radii of the β-uniformly convex of order α of Lommel and Struve functions

2017/10/25 by Sercan Topkaya, Topkaya, Sercan, Erhan Deni̇z +3
Mathematics · #30C45 (Primary) #30C80 (Secondary) #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1710.09715

openalex publication_date 2017/10/25 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

Abstract

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

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