Radius of starlikeness and hardy space of Mittag-Leffler functions

DOI10.2298/FIL1818475PzbMath1499.30149OpenAlexW2941047654WikidataQ127987626 ScholiaQ127987626MaRDI QIDQ5086856

Sudhananda Maharana, Deepak Bansal, Jugal Kishore Prajapat

Publication date: 7 July 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1818475p

zbMATH Keywords

zerosHardy spacesanalytic functionsradius of starlikenessMittag-Leffler functionsbounded analytic functionsstarlike and convex functions of order \(\alpha \)

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Spaces of bounded analytic functions of one complex variable (30H05) Mittag-Leffler functions and generalizations (33E12) Hardy spaces (30H10)

Related Items (5)

On some geometric properties and Hardy class of \(q\)-Bessel functions ⋮ Geometric properties of normalized Le Roy-type Mittag-Leffler functions ⋮ ON GEOMETRIC PROPERTIES OF THE MITTAG-LEFFLER AND WRIGHT FUNCTIONS ⋮ Radii of starlikeness and convexity of generalized Mittag-Leffler functions ⋮ Radii problems for the generalized Mittag-Leffler functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Certain geometric properties of normalized Bessel functions
• Geometric properties of generalized Bessel functions
• Generalized Bessel functions of the first kind
• Abel integral equations. Analysis and applications
• Nonasymptotic results on distribution of zeros of the function \(E_p(z,\mu)\)
• Some families of generalized hypergeometric functions associated with the Hardy space of analytic functions
• On the real zeros of functions of Mittag-Leffler type
• The Hardy class of some univalent functions and their derivatives
• Certain geometric properties of the Mittag-Leffler functions
• Partial sums of the normalized Lommel functions
• Functions Whose Derivative has a Positive Real Part
• Univalent Functions with Negative Coefficients
• On the generalized mittag-leffler type functions
• The hardy spaces of hypergeometric functions
• HARDY SPACE OF LOMMEL FUNCTIONS
• The radius of starlikeness of normalized Bessel functions of the first kind
• Hardy space of generalized Struve functions
• Certain geometric properties of the Wright function
• THEOREMS CONCERNING MEAN VALUES OF ANALYTIC OR HARMONIC FUNCTIONS

This page was built for publication: Radius of starlikeness and hardy space of Mittag-Leffler functions