Classes of univalent integral operators

DOI10.1016/0022-247X(91)90141-LzbMath0729.30011MaRDI QIDQ805790

Petru T. Mocanu, Sanford S. Miller

Publication date: 1991

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

zbMATH Keywords

subordinationintegral transformstarlikeclosed-to-convex

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45)

Related Items (12)

Third-order differential subordination and superordination involving a fractional operator ⋮ Some subordination theorems involving a certain family of integral operators ⋮ Subordinations of the solutions of Briot–Bouquet differential equations and their applications ⋮ Subordinations by \(\eta\)-convex functions for a class of nonlinear integral operators ⋮ A class of nonlinear integral operators preserving subordination and superordination ⋮ 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 ⋮ Subordination and superordination preserving properties for families of integral operators for meromorphic functions ⋮ Integral operators preserving subordination and superordination for multivalent functions ⋮ New results related to the starlikeness of Bernardi integral operator ⋮ Application of modified complex Tremblay operator

Cites Work

• On the univalence of functions defined by certain integral transforms. II
• Spiral like integral operators
• On the univalence of functions defined by certain integral transforms
• Starlikeness of certain functions with integral representations
• Some Classes of Regular Univalent Functions
• Convex and Starlike Univalent Functions
• On the Univalence of a Certain Integral
• The Univalence of an Integral
• On the Univalence of a Certain Integral
• On Bazilevic Functions
• On Certain Convex Sets in the Space of Locally Schlicht Functions
• Starlike integral operators
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