Bounds for radii of starlikeness of some \(q\)-Bessel functions

DOI10.1007/s00025-017-0668-6zbMath1371.30013arXiv1701.05029OpenAlexW2581566267MaRDI QIDQ2406489

İbrahim Aktaş, Árpád Baricz

Publication date: 4 October 2017

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

Full work available at URL: https://arxiv.org/abs/1701.05029

zbMATH Keywords

radius of starlikenesslower and upper boundsstarlike functions\(q\)-Bessel functionsLaguerre-Pólya class of entire functionsEuler-Rayleigh inequalitiesMittag-Leffler expansionszeros of \(q\)-Bessel functions

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 (19)

Bounds for radii of convexity of some $q$-Bessel functions ⋮ Radii of starlikeness and convexity of $q-$Mittag--Leffler functions ⋮ The normalized Miller-Ross function and its geometric properties ⋮ On some geometric properties and Hardy class of \(q\)-Bessel functions ⋮ On the Janowski starlikeness of the Coulomb wave functions ⋮ Generalized Lommel-Wright function and its geometric properties ⋮ Radius problems for univalent functions ⋮ Uniform convergence of basic Fourier-Bessel series on a \(q\)-linear grid ⋮ Radii of starlikeness and convexity of generalized \(k\)-Bessel functions ⋮ Radii of starlikeness and convexity of some entire functions ⋮ Asymptotic expansions for the radii of starlikeness of normalised Bessel functions ⋮ Radii of uniform convexity of some special functions ⋮ Radii of starlikeness and convexity of generalized Struve functions ⋮ On monotonic and logarithmic concavity properties of generalized $k$-Bessel function ⋮ On partial sums of normalized q-Bessel functions ⋮ Geometric and monotonic properties of hyper-Bessel functions ⋮ Radii problems for normalized \(q\) Bessel and Wright functions ⋮ CERTAIN GEOMETRIC PROPERTIES OF A NORMALIZED HYPER-BESSEL FUNCTION ⋮ Univalence of certain integral operators involving q-Bessel functions

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