Starlikeness of Bessel functions and their derivatives

DOI10.7153/mia-19-35zbMath1336.33011arXiv1410.0927OpenAlexW2963717288MaRDI QIDQ2805336

Murat Çağlar, Árpád Baricz, Erhan Deniz

Publication date: 11 May 2016

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.0927

zbMATH Keywords

close-to-convex functionsstarlike functionsinfinite productzeros of Bessel functionsBessel functions of the first kindtranscendental entire functionsderivatives of Bessel 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 (10)

Radii problems for the function aɀ²Jᵥ″(ɀ)+bɀJǖ5′(ɀ)+cJᵥ(ɀ) ⋮ The radius of uniform convexity of Bessel functions ⋮ Zeros of Bessel function derivatives ⋮ The radii of starlikeness and convexity of the functions including derivatives of Bessel functions ⋮ Radius problems for functions containing derivatives of Bessel functions ⋮ GEOMETRIC PROPERTIES OF GENERALIZED DINI FUNCTIONS ⋮ Certain geometric properties of generalized Dini functions ⋮ Radii of uniform convexity of Lommel and Struve functions ⋮ Starlikeness of normalized Bessel functions with symmetric points ⋮ Certain subclass of p-valent functions associated with Bessel functions

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