Convexity of integral operators involving generalized Bessel functions

DOI10.1080/10652469.2012.685938zbMath1272.30016OpenAlexW2050675723MaRDI QIDQ4915315

Erhan Deniz

Publication date: 10 April 2013

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2012.685938

zbMATH Keywords

modified Bessel functionsconvex functionsanalytic functionsintegral operatorsgeneralized Bessel functionsspherical Bessel functionsopen unit disk

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Conformal mappings of special domains (30C20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Extremal problems for conformal and quasiconformal mappings, other methods (30C75)

Related Items (15)

Inequalities on an extended Bessel function ⋮ Properties of functions involving struve function ⋮ Unnamed Item ⋮ Univalence and convexity conditions for certain integral operators associated with the Lommel function of the first kind ⋮ A linear operator associated with a certain variation of the Bessel function \(J_\nu (z)\) and related conformal mappings ⋮ Convexity properties for certain classes of analytic functions associated with an integral operator ⋮ A certain subclass of uniformly convex functions defined by Bessel functions ⋮ Weighted Hardy type spaces estimates of multilinear singular integral operators for the extreme cases ⋮ Convolution properties for meromorphically multivalent functions involving generalized Bessel functions ⋮ About the starlikeness of Bessel functions ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Third-order differential superordination involving the generalized Bessel functions ⋮ Certain subclass of p-valent functions associated with Bessel functions ⋮ Differential subordinations involving generalized Bessel functions

Cites Work

• Unnamed Item
• Convexity properties for some general integral operators on uniformly analytic functions classes
• Some general univalence criteria for a family of integral operators
• Univalence of integral operators involving Bessel functions
• An extension of the univalent condition for a family of integral operators
• The order of convexity of some general integral operators
• Sufficient conditions for integral operator defined by Bessel functions
• Starlikeness and convexity of generalized Bessel functions
• Convexity of integral transforms and function spaces
• Some sufficient conditions for certain integral operators
• Starlikeness and convexity of an integral transformisntegral transform
• Some inequalities involving generalized Bessel functions

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