Order of convexity and univalency of general integral operator

DOI10.1016/j.jfranklin.2011.03.006zbMath1220.30021OpenAlexW2070275471MaRDI QIDQ553550

Basem Aref Frasin

Publication date: 27 July 2011

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfranklin.2011.03.006

zbMATH Keywords

convex functionsunivalent functionsstarlike functions

Mathematics Subject Classification ID

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

Related Items (8)

General integral operator of analytic functions involving functions with positive real part ⋮ Starlikeness of general integral operator for meromorphic multivalent functions ⋮ Some properties of an integral operator defined by convolution ⋮ Univalency of general integral operator defined by Schwarz functions ⋮ Sufficient conditions for the univalence of an integral operator ⋮ Starlikeness of a new general integral operator for meromorphic multivalent functions ⋮ Univalence criteria for a general integral operator ⋮ On general integral operator of analytic functions

Cites Work

• Convex and starlike criteria
• Univalence of the Integral of f ′(z)^λ
• LINEAR INVARIANCE AND INTEGRAL OPERATORS OF UNIVALENT FUNCTIONS
• On the quotient of the representations of convexity and starlikeness
• Starlike integral operators
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