Radii of starlikeness and convexity of Wright functions

zbMath1391.30015arXiv1702.00631MaRDI QIDQ4575568

Árpád Baricz, Evrim Toklu, Ekrem Kadioǧlu

Publication date: 13 July 2018

Full work available at URL: https://arxiv.org/abs/1702.00631

zbMATH Keywords

Wright functionMittag-Leffler expansionLaguerre-Pólya class of entire functionsradius of starlikeness and convexityunivalent, star-like functionszeros of wright function

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 (14)

Bounds for radii of convexity of some $q$-Bessel functions ⋮ Radii of starlikeness and convexity of $q-$Mittag--Leffler functions ⋮ Geometric and monotonic properties of Ramanujan type entire functions ⋮ Connections between normalized Wright functions with families of analytic functions with negative coefficients ⋮ Radii of starlikeness and convexity of generalized \(k\)-Bessel functions ⋮ Radius of \(\gamma\)-spirallikeness of order \(\alpha\) of some special functions ⋮ Radii of uniform convexity of some special functions ⋮ ON GEOMETRIC PROPERTIES OF THE MITTAG-LEFFLER AND WRIGHT FUNCTIONS ⋮ Radii of starlikeness and convexity of generalized Struve functions ⋮ New properties of the generalized Dini function ⋮ Radii of starlikeness and convexity of generalized Mittag-Leffler 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

Cites Work

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• Close-to-convexity of some special functions and their derivatives

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