Radii of uniform convexity of some special functions

DOI10.3906/mat-1806-43zbMath1424.30020arXiv1801.08684OpenAlexW2963334282WikidataQ127713414 ScholiaQ127713414MaRDI QIDQ4633393

Halit Orhan, İbrahim Aktaş, Evrim Toklu

Publication date: 2 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.08684

zbMATH Keywords

\(q\)-Bessel functionsWright functionradius of uniform convexityMittag-Leffler expansions

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (9)

Radii of starlikeness and convexity of $q-$Mittag--Leffler functions ⋮ The normalized Miller-Ross function and its geometric properties ⋮ On some geometric results for generalized \(k\)-Bessel functions ⋮ Radii of starlikeness and convexity of generalized \(k\)-Bessel functions ⋮ The radius of starlikeness, convexity and uniform convexity of the Legendre polynomials of odd degree ⋮ Radii of starlikeness and convexity of generalized Struve functions ⋮ Radii problems for the generalized Mittag-Leffler functions ⋮ Radii problems for normalized \(q\) Bessel and Wright functions ⋮ Unnamed Item

Cites Work

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• The radius of \(\alpha\)-convexity of normalized Bessel functions of the first kind
• Geometric properties of some Lommel and Struve functions
• The radius of univalence of Bessel functions
• Radii of starlikeness and convexity of some \(q\)-Bessel functions
• On the variation with respect to a parameter of zeros of Bessel and q- Bessel functions
• The radius of univalence of certain entire functions
• The zeros of basic Bessel functions, the functions J(nu+ax)(x), and associated orthogonal polynomials
• On the zeros of the Hahn-Exton \(q\)-Bessel function and associated \(q\)- Lommel polynomials
• The radius of uniform convexity of Bessel functions
• Bounds for radii of starlikeness of some \(q\)-Bessel functions
• Radii of starlikeness of some special functions
• The radius of convexity of normalized Bessel functions of the first kind
• Starlikeness and convexity of generalized Bessel functions
• Univalence of Bessel Functions
• Starlike Hypergeometric Functions
• Bounds for radii of convexity of some $q$-Bessel functions
• On q-Analogues of the Fourier and Hankel Transforms
• Uniformly Convex Functions and a Corresponding Class of Starlike Functions
• Radii of starlikeness and convexity of Wright functions
• Bounds for the radii of univalence of some special functions
• Zeros of some special entire functions
• Bounds for radii of starlikeness and convexity of some special functions
• The radius of starlikeness of normalized Bessel functions of the first kind
• The Real Zeros of Struve’s Function
• The Sign of Lommel's Function
• On uniformly convex functions

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