Coefficient functional for the kth root transform of analytic function and applications to fractional derivatives

DOI10.7153/fdc-2018-08-12zbMath1424.30066OpenAlexW2882993540MaRDI QIDQ4626420

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Publication date: 27 February 2019

Published in: Fractional Differential Calculus (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/fdc-2018-08-12

zbMATH Keywords

fractional derivativessubordinationanalytic functionsFekete-Szegő inequality\(k\)th root transformation

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80)

Cites Work

• Coefficient bounds for \(p\)-valent functions
• Certain coefficient bounds for \(p\)-valent functions
• The Fekete-Szegö coefficient functional for transforms of analytic functions
• A general approach to the Fekete-Szegö problem
• On the Fekete-Szegö problem for strongly \(\alpha\)-logarithmic quasiconvex functions
• Univalent and Starlike Generalized Hypergeometric Functions
• Eine Bemerkung Über Ungerade Schlichte Funktionen
• A Coefficient Inequality for Certain Classes of Analytic Functions
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