Higher-order \(q\)-derivatives and their applications to subclasses of multivalent Janowski type \(q\)-starlike functions

DOI10.1186/s13662-021-03611-6zbMath1494.30031OpenAlexW3204275726MaRDI QIDQ2167204

Yanyan Li

Publication date: 25 August 2022

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

Full work available at URL: https://doi.org/10.1186/s13662-021-03611-6

zbMATH Keywords

distortion theoremsanalytic functionscoefficient inequalitiesJanowski functionsradius problemmultivalent functions\(q\)-starlike functions\(q\)-difference (or \(q\)-derivative) operator

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Binomial coefficients; factorials; (q)-identities (11B65) 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) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Coefficient problems for univalent and multivalent functions of one complex variable (30C50)

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