Applications of convolution operators to problems in univalent function theory

DOI10.1307/MMJ/1029002312zbMath0413.30013OpenAlexW2012720466MaRDI QIDQ1260488

Charles N. Kellogg, Roger W. Barnard

Publication date: 1980

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1307/mmj/1029002312

zbMATH Keywords

univalent functionsconvolution operatorsspiral-like functions

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45)

Related Items (14)

A Note on a Problem of Robinson ⋮ Directional convexity of convolutions of harmonic functions with certain dilatations ⋮ On certain classes of analytic functions defined by Noor integral operator ⋮ Inclusion properties of a subclass of analytic functions defined by an integral operator involving the Gauss hypergeometric function ⋮ \(n\)-Bazilevic functions ⋮ On some analytic functions defined by a multiplier transformation ⋮ Inclusion properties for certain subclasses of analytic functions defined by a linear operator ⋮ Unnamed Item ⋮ Some properties of generalized convolution of harmonic univalent functions ⋮ Unnamed Item ⋮ Inclusion properties for certain classes of meromorphic functions associated with a family of linear operators ⋮ Subclasses of meromorphic functions associated with convolution ⋮ New subclasses of analytic functions defined by convolution involving the hypergeometric function and the Owa-Srivastava operator ⋮ A NEW SUBCLASS OF ANALYTIC FUNCTIONS DEFINED BY CONVOLUTION

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