Univalence of a new general integral operator associated with the \(q\)-hypergeometric function

DOI10.1155/2013/769537zbMath1266.33008OpenAlexW1996333492WikidataQ58989319 ScholiaQ58989319MaRDI QIDQ1950022

Huda Al-Dweby, Darus, Maslina

Publication date: 23 May 2013

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/769537

zbMATH Keywords

\(q\)-hypergeometric functionsunivalence criteria

Mathematics Subject Classification ID

Generalized hypergeometric series, ({}_pF_q) (33C20) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60)

Related Items (5)

Partial sum of generalized class of meromorphically univalent functions defined by q-analogue of Liu–Srivastava operator ⋮ A certain \(q\)-Ruscheweyh type derivative operator and its applications involving multivalent functions ⋮ q-Analogue of Liu-Srivastava operator on meromorphic functions based on subordination ⋮ Certain subclasses of analytic functions defined by a new general linear operator ⋮ Univalence of certain integral operators involving q-Bessel functions

Cites Work

• On the univalence criterion of a general integral operator
• Sufficient conditions for univalence of an integral operator
• An extension of the univalent condition for a family of integral operators
• Classes of analytic functions associated with the generalized hypergeometric function,
• Starlike and Prestarlike Hypergeometric Functions
• New Criteria for Univalent Functions
• On the Radius of Univalence of Certain Analytic Functions
• Some Classes of Regular Univalent Functions
• Convex and Starlike Univalent Functions
• On certain analytic univalent functions
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