Convexity of integral operators of \(p\)-valent functions

DOI10.1016/j.mcm.2009.10.045zbMath1190.30014OpenAlexW1977533642MaRDI QIDQ984211

Basem Aref Frasin

Publication date: 16 July 2010

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2009.10.045

zbMATH Keywords

integral operatoranalytic functions\(p\)-valently starlike and \(p\)-valently convex functionsuniformly starlike and convex functions

Mathematics Subject Classification ID

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

Related Items (10)

On coefficients of some p-valent starlike functions ⋮ On certain sufficiency criteria for \(p\)-valent meromorphic spiralike functions ⋮ Two new general \(p\)-valent integral operators ⋮ Sufficient condition for \(p\)-valent strongly starlike functions ⋮ Closure properties of operators on the Ma-Minda type starlike and convex functions ⋮ Convexity properties for certain classes of analytic functions associated with an integral operator ⋮ Convexity of certain \(q\)-integral operators of \(p\)-valent functions ⋮ On some integral operators for certain classes of \(p\)-valent functions ⋮ Integral operators on Ma-Minda type starlike and convex functions ⋮ Starlikeness and convexity of the product of certain multivalent functions with higher-order derivatives

Cites Work

• On uniformly starlike functions
• Properties of certain \(p\)-valently convex functions
• Generalized hypergeometric functions associated with \(k\)-uniformly convex functions.
• Classes of uniformly starlike and convex functions
• Some sufficient conditions for certain integral operators
• Uniformly convex functions
• Uniformly Convex Functions and a Corresponding Class of Starlike Functions
• Univalence of two general integral operators
• INCLUSION RELATIONS FOR k-UNIFORMLY STARLIKE AND RELATED FUNCTIONS UNDER CERTAIN INTEGRAL OPERATORS
• Starlike integral operators
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