Relations between the generalized Bessel functions and the Janowski class

DOI10.7153/mia-2018-21-14zbMath1384.33012arXiv1607.02100OpenAlexW2963064565MaRDI QIDQ4604544

A. D. Mohammed, Saiful Rahman Mondal, Stanislawa Kanas

Publication date: 2 March 2018

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

Full work available at URL: https://arxiv.org/abs/1607.02100

zbMATH Keywords

convexitystarlike functionsdifferential subordinationgeneralized Bessel functionsJanowski convexity

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (6)

Third order differential subordination associated with Janowski functions ⋮ On the Janowski starlikeness of the Coulomb wave functions ⋮ Inclusion relations of \(q\)-Bessel functions associated with generalized conic domain ⋮ Geometric properties of generalized Bessel function associated with the exponential function ⋮ Exponential starlikeness and convexity of confluent hypergeometric, Lommel, and Struve functions ⋮ Certain geometric properties of generalized Dini functions

Cites Work

• Janowski starlikeness for a class of analytic functions
• Sufficient conditions for Janowski starlikeness
• Generalized Bessel functions of the first kind
• On the order of starlikeness of hypergeometric functions
• Differential subordinations and inequalities in the complex plane
• The radius of convexity of normalized Bessel functions of the first kind
• Starlikeness and convexity of generalized Bessel functions
• Univalence of Bessel Functions
• Univalence of Gaussian and Confluent Hypergeometric Functions
• Univalence and convexity properties for confluent hypergeometric functions
• Some extremal problems for certain families of analytic functions I
• Functions with Real Part Greater Than &#945
• [https://portal.mardi4nfdi.de/wiki/Publication:5830786 Schlicht Solutions of W � � + pW = 0]
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