Normalized generalized Bessel function and its geometric properties

DOI10.1186/s13660-022-02891-0OpenAlexW4311803408MaRDI QIDQ6062380

Teodor Bulboacă, Hanaa M. Zayed

Publication date: 30 November 2023

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-022-02891-0

zbMATH Keywords

error functionconvolutionHadamard productmodified Bessel functionstarlikeunivalentdigamma functionconvex and close-to convex functionsgeneralized Struve and Lommel-Wright function

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)

Cites Work

• Geometric properties of generalized Bessel functions
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• The radius of univalence of Bessel functions
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• A proof of the Bieberbach conjecture
• On the order of starlikeness of hypergeometric functions
• Properties of functions involving struve function
• On some geometric properties for the combination of generalized Lommel-Wright function
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• Starlikeness and convexity of generalized Bessel functions
• Starlike Hypergeometric Functions
• Univalence of Gaussian and Confluent Hypergeometric Functions
• Starlike and Prestarlike Hypergeometric Functions
• Univalence and convexity properties for confluent hypergeometric functions
• The hardy spaces of hypergeometric functions
• Geometric properties for convolutions of hypergeometric functions and functions with the derivative in a halfplane
• HARDY SPACE OF LOMMEL FUNCTIONS
• Hardy space of generalized Struve functions
• A Class of Univalent Functions
• The radius of univalence of certain analytic functions
• On some geometric properties of the Le Roy-type Mittag-Leffler function
• The radius of univalence of the error function
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