Inclusion properties of a subclass of analytic functions defined by an integral operator involving the Gauss hypergeometric function

DOI10.1016/J.AMC.2011.09.026zbMath1244.30029OpenAlexW2103642036MaRDI QIDQ426429

Meena More, S. M. Khairnar, Hari M. Srivastava

Publication date: 11 June 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.09.026

zbMATH Keywords

gamma functionincomplete beta functionconvex functionsintegral operatorsstarlike functionsclosed convex hullDziok-Srivastava operatorGauss generalized hypergeometric functionsintegral-preserving propertiesRuscheweyh derivative operatorsubordination properties

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (10)

Carathéodory properties of Gaussian hypergeometric function associated with differential inequalities in the complex plane ⋮ Majorization problems for certain classes of multivalent analytic functions related with the Srivastava-Khairnar-More operator and exponential function ⋮ Properties and characteristics of the Srivastava-Khairnar-More integral operator ⋮ Subordination and superordination preserving properties for a family of integral operators involving the Noor integral operator ⋮ Inclusion relationships for certain subclasses of analytic functions involving linear operator ⋮ Inclusion results for certain classes of analytic functions associated with a new fractional differintegral operator ⋮ A general family of integral operators and associated subordination and superordination properties of some special analytic function classes ⋮ Some basic properties of certain subclasses of meromorphically starlike functions ⋮ Certain subclasses of \(p\)-valently analytic functions involving a generalized fractional differintegral operator ⋮ Inclusion results for certain subclasses of spiral-like multivalent functions involving a generalized fractional differintegral operator

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