Certain subclasses of analytic functions defined by a new general linear operator

DOI10.26516/1997-7670.2018.24.24zbMath1409.30015OpenAlexW2811004086MaRDI QIDQ1717390

Abdul Rahman Salman Juma, Darus, Maslina

Publication date: 5 February 2019

Published in: Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika (Search for Journal in Brave)

Full work available at URL: http://mathizv.isu.ru/journal/downloadArticle?article=_d4ba7b8becfd412cb5162b03fdad6548&lang=eng

zbMATH Keywords

analytic functionslinear operatorunivalent functionsstar-like functionsFekete-Szego problem

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Coefficient problems for univalent and multivalent functions of one complex variable (30C50)

Cites Work

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• Double subordination preserving properties for a new generalized Srivastava-Attiya integral operator
• A unified class of analytic functions involving a generalization of the Srivastava-Attiya operator
• Classes of analytic functions associated with the generalized hypergeometric function,
• Argument estimates of certain analytic functions defined by a class of multiplier transformations.
• Some subordination results on \(q\)-analogue of Ruscheweyh differential operator
• Some inclusion properties of a certain family of integral operators.
• Univalence of a new general integral operator associated with the \(q\)-hypergeometric function
• A subclass of harmonic univalent functions associated with \(q\)-analogue of Dziok-Srivastava operator
• Some subclasses of analytic and spiral-like functions of complex order involving the Srivastava–Attiya integral operator
• An integral operator associated with the Hurwitz–Lerch Zeta function and differential subordination
• Starlike and Prestarlike Hypergeometric Functions
• New Criteria for Univalent Functions
• Some formulas for the Bernoulli and Euler polynomials at rational arguments
• Convex and Starlike Univalent Functions

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