Close-to-convexity of normalized Dini functions

DOI10.1002/mana.201500009zbMath1355.33005arXiv1408.6423OpenAlexW2949800709MaRDI QIDQ2830662

Nihat Yagmur, Erhan Deniz, Árpád Baricz

Publication date: 28 October 2016

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.6423

zbMATH Keywords

starlike functionsinfinite productzeros of Bessel functionsBessel functions of the first kindtranscendental entire functionsclose to convex functions

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

The radius of uniform convexity of Bessel functions, Certain geometric properties of the generalized dini function, GEOMETRIC PROPERTIES OF GENERALIZED DINI FUNCTIONS, Partial sums of normalized Dini functions, Certain geometric properties of generalized Dini functions, New properties of the generalized Dini function, Certain geometric properties of the modified Dini function, Unnamed Item, Unnamed Item, Univalence criteria for general integral operators involving normalized Dini functions, Characterizations for certain subclasses of starlike and convex functions associated with generalized Dini functions

Uses Software

• DLMF

Cites Work

• The radius of univalence of Bessel functions
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• Bounds for the small real and purely imaginary zeros of Bessel and related functions
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• Entire functions with univalent derivatives
• The radius of convexity of normalized Bessel functions of the first kind
• Starlikeness and convexity of generalized Bessel functions
• Univalent Solutions of W″ + pW = 0
• The radius of starlikeness of normalized Bessel functions of the first kind
• Close-to-convexity of some special functions and their derivatives
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