RADII OF k-STARLIKENESS OF ORDER a OF STRUVE AND LOMMEL FUNCTIONS

RADII OF k-STARLIKENESS OF ORDER a OF STRUVE AND LOMMEL FUNCTIONS

In the present work our main objective is to determine the radii of k- starlikeness of order a 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...

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Veröffentlicht in:Mathematical notes (Miskolci Egyetem (Hungary)) 2021-01, Vol.22 (1), p.5-15
Hauptverfasser: Aktaş, İ, Toklu, E, Orhan, H
Format: Artikel
Sprache:eng
Schlagworte:
Convex analysis
Functional equations
Harmonic functions
Inequality
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Zusammenfassung:In the present work our main objective is to determine the radii of k- starlikeness of order a 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.
ISSN:1787-2405
1787-2413
DOI:10.18514/MMN.2021.3400