Radii of \(\alpha \)-convexity of some normalized Bessel functions of the first kind

DOI10.1007/s00025-017-0738-9zbMath1381.33008OpenAlexW2753028028MaRDI QIDQ681258

Murat Çağlar, Róbert Szász, Erhan Deniz

Publication date: 30 January 2018

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-017-0738-9

zbMATH Keywords

convex functionsstarlike functionszeros of Bessel functions\(\alpha \)-convex functionsnormalized Bessel functions of the first kindradii of \(\alpha \)-convexity

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 (7)

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 ⋮ Radius problems for functions containing derivatives of Bessel functions ⋮ Radii problems for the generalized Mittag-Leffler functions ⋮ Certain subclass of p-valent functions associated with Bessel functions

Uses Software

• DLMF

Cites Work

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• The radius of \(\alpha\)-convexity of normalized Bessel functions of the first kind
• The radius of convexity of normalized Bessel functions
• About the radius of starlikeness of Bessel functions of the first kind
• The radius of convexity of normalized Bessel functions of the first kind
• The Radius of α-Convexity for the Class of Starlike Univalent Functions, α-Real
• The radius of starlikeness of normalized Bessel functions of the first kind

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