Starlikeness of Gaussian hypergeometric functions using positivity techniques

DOI10.1007/S40840-016-0420-5zbMath1380.30012OpenAlexW2512003808MaRDI QIDQ1695620

Peng Zhang

Publication date: 7 February 2018

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-016-0420-5

zbMATH Keywords

harmonic functionhypergeometric functionminimum principlestarlike functiontrigonometric sumsclose-to-convex function

Mathematics Subject Classification ID

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

Related Items (5)

On the study of trigonometric polynomials using strum sequence ⋮ Geometric properties of Cesàro averaging operators ⋮ Certain geometric properties of Mittag-Leffler functions ⋮ On the Janowski class of generalized Struve functions ⋮ Some coefficient estimates on real kernel 𝛼-harmonic mappings

Cites Work

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• Starlikeness of integral transforms and duality
• Stable functions and extension of Vietoris' theorem
• On the order of starlikeness of the shifted Gauss hypergeometric function
• Properties of convolutions for hypergeometric series with univalent functions
• Coefficient conditions for starlikeness of nonnegative order
• On the positivity of certain trigonometric sums and their applications
• On a conjecture for trigonometric sums and starlike functions
• Starlikeness of the Gaussian hypergeometric functions
• Coefficient conditions for starlike functions
• On the theory of univalent functions

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