Subordination-Preserving Integral Operators

DOI10.2307/1999149zbMath0506.30011OpenAlexW4256622849MaRDI QIDQ4743047

Maxwell O. Reade, Petru T. Mocanu, Sanford S. Miller

Publication date: 1984

Full work available at URL: https://doi.org/10.2307/1999149

zbMATH Keywords

integral operatordistortion theoremsLoewner chain

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) Integral, integro-differential, and pseudodifferential operators (47Gxx)

Related Items (23)

Parametric embedding of starlike functions ⋮ Subordination and superordination preserving properties for generalized multiplier transformation operator ⋮ Subordination properties for a general class of integral operators involving meromorphically multivalent functions ⋮ Subordinations by \(\eta\)-convex functions for a class of nonlinear integral operators ⋮ Subordination properties for meromorphic multivalent functions associated with the multiplier transformation ⋮ Unnamed Item ⋮ Unnamed Item ⋮ A class of nonlinear integral operators preserving subordination and superordination ⋮ Subordination and superordination preserving properties for a family of integral operators involving the Noor integral operator ⋮ Sandwich-type theorems for a class of multiplier transformations associated with the Noor integral operators ⋮ On subordination-preserving theorem ⋮ A class of nonlinear integral operators preserving double subordinations ⋮ A class of integral operators preserving subordination and superordination ⋮ Double subordination-preserving properties for certain integral operators ⋮ A general family of integral operators and associated subordination and superordination properties of some special analytic function classes ⋮ Double subordination preserving properties for a new generalized Srivastava-Attiya integral operator ⋮ Subordination and superordination for multivalent functions associated with the Dziok-Srivastava operator ⋮ Sandwich theorems for a class of p-valent meromorphic functions involving the Erdélyi–Kober-type integral operators ⋮ Subordination and superordination properties for a class of integral operators ⋮ Sandwich-type theorems for multivalent functions associated with the Srivastava-Attiya operator ⋮ A class of integral operators preserving subordination and superordination for meromorphic functions ⋮ Some simple sufficient conditions for starlikeness and convexity ⋮ Double subordination preserving properties for generalized fractional differ-integral operator

Cites Work

• Unnamed Item
• Unnamed Item
• A note on \(p\)-valent functions
• Differential subordinations and univalent functions
• Second order differential inequalities in the complex plane
• Univalent solutions of Briot-Bouquet differential equations
• Some remarks on convex maps of the unit disk
• On starlike and convex mappings of a circle
• Subordination by Univalent Functions
• Subordination by Convex Functions
• Starlike integral operators

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