Article
2021
·
7 citations
RADII OF <i>k</i>-STARLIKENESS OF ORDER α OF STRUVE AND LOMMEL FUNCTIONS
Abstract
In the present work our main objective is to determine the radii of k - starlikeness of order alpha 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.
Keywords
k-starlike functions
radius of k-starlikeness of order alpha
Mittag-Leffler expansions
Lommel and Struve functions
HYPERGEOMETRIC-FUNCTIONS
CONVEXITY
BOUNDS
WoS Categories
Mathematics
Citation
- Journal
- MISKOLC MATHEMATICAL NOTES
- Year
- 2021
- Volume
- 22
- Issue
- 1
- Pages
- 5-15
- ISSN
- 1787-2405
- eISSN
- 1787-2413
- DOI
- 10.18514/MMN.2021.3400
- WoS UID
- WOS:000661139500001