The radius of uniform convexity of Bessel functions

DOI10.1016/j.jmaa.2017.03.079zbMath1369.30008arXiv1702.07493OpenAlexW2593645824MaRDI QIDQ2396885

Róbert Szász, Erhan Deniz

Publication date: 26 May 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.07493

zbMATH Keywords

zeros of Bessel functionsuniformly convex functionradius of uniform convexitynormalized Bessel functions of the fist kind

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (17)

Radii problems for the function aɀ²Jᵥ″(ɀ)+bɀJǖ5′(ɀ)+cJᵥ(ɀ) ⋮ Geometric and monotonic properties of Ramanujan type entire functions ⋮ A class of analytic functions related to convexity and functions with bounded turning ⋮ Radii of starlikeness and convexity of the derivatives of Bessel function ⋮ The radii of starlikeness and convexity of the functions including derivatives of Bessel functions ⋮ On some geometric results for generalized \(k\)-Bessel functions ⋮ Radius problems for functions containing derivatives of Bessel functions ⋮ Radius of \(\gamma\)-spirallikeness of order \(\alpha\) of some special functions ⋮ Asymptotic expansions for the radii of starlikeness of normalised Bessel functions ⋮ Radii of uniform convexity of some special functions ⋮ The radius of starlikeness, convexity and uniform convexity of the Legendre polynomials of odd degree ⋮ Radii problems for normalized Bessel functions of first kind ⋮ Radii of uniform convexity of Lommel and Struve functions ⋮ Radii of starlikeness and convexity of generalized Struve functions ⋮ Radii problems for the generalized Mittag-Leffler functions ⋮ Geometric and monotonic properties of hyper-Bessel functions ⋮ Radii problems for normalized \(q\) Bessel and Wright functions

Uses Software

• DLMF

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The radius of \(\alpha\)-convexity of normalized Bessel functions of the first kind
• The radius of convexity of normalized Bessel functions
• The radius of univalence of Bessel functions
• Convex, starlike, and level curves
• Radii of starlikeness and convexity of some \(q\)-Bessel functions
• On the order of starlikeness of the shifted Gauss hypergeometric function
• Some simple sufficient conditions for starlikeness and convexity
• On the order of starlikeness of hypergeometric functions
• Close-to-convexity, starlikeness, and convexity of certain analytic functions
• Sufficiency for Gaussian hypergeometric functions to be uniformly convex
• About the radius of starlikeness of Bessel functions of the first kind
• Sufficient conditions for univalence and starlikeness
• Sufficiency for hypergeometric transforms to be associated with conic regions
• Entire functions with univalent derivatives
• Convexity and starlikeness of analytic functions
• Starlikeness of Bessel functions and their derivatives
• Close-to-convexity of normalized Dini functions
• The radius of convexity of normalized Bessel functions of the first kind
• Univalence of Bessel Functions
• Starlike Hypergeometric Functions
• Univalence of Gaussian and Confluent Hypergeometric Functions
• Univalent and Starlike Generalized Hypergeometric Functions
• Univalence and convexity properties for confluent hypergeometric functions
• Uniformly Convex Functions and a Corresponding Class of Starlike Functions
• The radius of starlikeness of normalized Bessel functions of the first kind
• Hypergeometric functions in the parabolic starlike and uniformly convex domains
• Functions Starlike and Convex of Order α
• Univalence and convexity properties for Gaussian hypergeometric functions
• Close-to-convexity of some special functions and their derivatives
• On uniformly convex functions

This page was built for publication: The radius of uniform convexity of Bessel functions