Properties of convolutions for hypergeometric series with univalent functions

DOI10.1186/1687-1847-2013-101zbMath1380.30011OpenAlexW2123004394WikidataQ59292922 ScholiaQ59292922MaRDI QIDQ1693541

Nak Eun Cho, Ji A. Kim

Publication date: 31 January 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2013-101

zbMATH Keywords

convex functionunivalent functionhypergeometric functionstarlike functionuniformly convexuniformly starlike

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Generalized hypergeometric series, ({}_pF_q) (33C20) General theory of univalent and multivalent functions of one complex variable (30C55)

Related Items (3)

Properties for certain subclasses of analytic functions with nonzero coefficients ⋮ Starlikeness of Gaussian hypergeometric functions using positivity techniques ⋮ On coefficient functionals associated with the Zalcman conjecture

Cites Work

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• On uniformly starlike functions
• On the order of starlikeness of hypergeometric functions
• On a class of univalent functions related to complex order
• Univalent Functions with Negative Coefficients
• Certain Subclasses of Analytic Functions Associated with the Generalized Hypergeometric Function
• On a certain class of functions whose derivatives have a positive real part in the unit disc
• Functions Starlike and Convex of Order α
• A Class of Univalent Functions
• On uniformly convex functions

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