Subordination and superordination preserving properties for generalized multiplier transformation operator

DOI10.1016/J.MCM.2011.10.024zbMath1255.30024OpenAlexW2069841519MaRDI QIDQ1933920

Jugal Kishore Prajapat

Publication date: 27 January 2013

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

Full work available at URL: https://doi.org/10.1016/j.mcm.2011.10.024

zbMATH Keywords

convex functionsanalytic functionsunivalent functionsstarlike functionssubordination chaindifferential subordination and superordinationmultiplier transformation operator

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 (9)

Class of multivalent analytic functions defined by a linear operator ⋮ Hankel determinant for a class of analytic functions of complex order defined by convolution ⋮ Fekete-Szegő inequalities for \(p\)-valent starlike and convex functions of complex order ⋮ On integral operators for certain classes of \(p\)-valent functions associated with generalized multiplier transformations ⋮ The convolution of finite number of analytic functions ⋮ Unnamed Item ⋮ Certain subordination results involving a generalized multiplier transformation operator ⋮ Fekete-Szegö inequality for classes of analytic functions connected with the (p,q)-derivative ⋮ Faber polynomial coefficient estimates of bi-univalent functions connected with the $q$-convolution

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