Some applications of differential subordination

DOI10.1017/S0004972700002410zbMath0575.30018OpenAlexW2010134463MaRDI QIDQ5902891

R. Parvatham, K. S. Padmanabhan

Publication date: 1985

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700002410

zbMATH Keywords

differential subordination

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)

Related Items (32)

Applications of differential subordination ⋮ Some applications of differential subordination and the Dziok-Srivastava convolution operator ⋮ SOME SUBCLASSES OF MEROMORPHICALLY MULTIVALENT FUNCTIONS ASSOCIATED WITH THE GENERALIZED MULTIPLIER TRANSFORMATIONS ⋮ A note on symmetrical functions defined by a differential operator ⋮ Linear maps preserving essentially numerical range and essentially unitary operator ⋮ Unnamed Item ⋮ Convolution properties of classes of analytic and meromorphic functions ⋮ Some subclasses of meromorphically functions associated with the convolution structure ⋮ Starlike functions associated with a lune ⋮ Normalized analytic functions with fixed second coefficient ⋮ Inclusion properties of a subclass of analytic functions defined by an integral operator involving the Gauss hypergeometric function ⋮ Radius of starlikeness for classes of analytic functions ⋮ Unnamed Item ⋮ A subclass of meromorphic close-to-convex functions of Janowski's type ⋮ Unnamed Item ⋮ Inclusion properties of new classes of analytic functions ⋮ On certain applications of the Hadamard product ⋮ Differential subordination and radius estimates for starlike functions associated with the Booth lemniscate ⋮ On integral operator defined by convolution involving hybergeometric functions ⋮ DIFFERENTIAL SUBORDINATION RESULTS FOR ANALYTIC FUNCTIONS ⋮ Starlike functions associated with exponential function and the lemniscate of Bernoulli ⋮ Unnamed Item ⋮ Certain subclasses of multivalent analytic functions defined by multiplier transforms ⋮ On a subclass of Bazilevich functions ⋮ On starlike and convex functions with respect to \(k\)-symmetric points ⋮ Some applications of differential subordination on analytic functions ⋮ Some subclasses of multivalent analytic functions involving the Dziok–Srivastava operator ⋮ Some subclasses of meromorphically multivalent functions associated with the generalized hypergeometric function ⋮ Subclasses of meromorphic functions associated with convolution ⋮ Unnamed Item ⋮ An investigation of the third Hankel determinant problem for certain subfamilies of univalent functions involving the exponential function ⋮ A NEW SUBCLASS OF ANALYTIC FUNCTIONS DEFINED BY CONVOLUTION

Cites Work

• Close-to-convex schlicht functions
• New Criteria for Univalent Functions
• New Subclasses of the Class of Close-to-Convex Functions
• Some Classes of Regular Univalent Functions
• All α-Convex Functions are Univalent and Starlike

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