Application of generalized Bessel functions to classes of analytic functions

DOI10.1007/s13370-020-00835-9zbMath1488.30070OpenAlexW3085975832MaRDI QIDQ821257

Tariq Al-Hawary, Ibtisam Aldawish, Feras Yousef, Basem Aref Frasin

Publication date: 20 September 2021

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13370-020-00835-9

zbMATH Keywords

Hadamard productanalytic functionsgeneralized 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 (6)

Subclass of analytic functions defined by \(q\)-derivative operator associated with Pascal distribution series ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Starlikeness of normalized Bessel functions with symmetric points ⋮ On subclasses of uniformly spiral-like functions associated with generalized Bessel functions ⋮ Coefficient bounds and Fekete-Szegö problem for qualitative subclass of bi-univalent functions

Cites Work

• Geometric properties of generalized Bessel functions
• Functional inequalities involving Bessel and modified Bessel functions of the first kind
• Univalence of integral operators involving Bessel functions
• Generalized Bessel functions of the first kind
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• On a class of univalent functions related to complex order
• A comprehensive subclass of bi-univalent functions associated with Chebyshev polynomials of the second kind
• Fekete-Szegö functional problems for some subclasses of bi-univalent functions defined by Frasin differential operator
• Necessary and sufficient conditions for hypergeometric functions to be in a subclass of analytic functions
• On subclasses of uniformly spiral-like functions associated with generalized Bessel functions
• Starlike and convexity properties for hypergeometric functions
• Functional inequalities involving special functions
• Fekete-Szegö inequality for analytic and bi-univalent functions subordinate to Chebyshev polynomials
• Some properties of a linear operator involving generalized Mittag-Leffler function
• Hypergeometric functions in the parabolic starlike and uniformly convex domains
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