Some families of \(p\)-valently analytic functions established by fractional derivatives and their certain consequences

DOI10.1016/J.AMC.2011.01.058zbMath1225.30012OpenAlexW1965385163MaRDI QIDQ648207

Hüseyin Irmak

Publication date: 22 November 2011

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

Full work available at URL: https://doi.org/10.1016/j.amc.2011.01.058

zbMATH Keywords

inequalitiesconvexitystarlikenessprincipal valuesfractional derivativeclose-to-convexityanalytic and \(p\)-valent functionsopen unit disk

Mathematics Subject Classification ID

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

Related Items (1)

Various operators in relation to fractional order calculus and some of their applications to normalized analytic functions in the open unit disk

Cites Work

• Some families of multivalently analytic functions with negative coefficients
• The starlikeness and convexity of multivalent functions involving certain inequalities.
• Certain inequalities and their applications to multivalently analytic functions
• Functions Starlike and Convex of Order α
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