Distortion bound and growth theorems for a subclass of analytic functions defined by $q$-derivative

DOI10.55730/1300-0098.3256zbMath1495.30005OpenAlexW4285108047WikidataQ113689583 ScholiaQ113689583MaRDI QIDQ5102084

Nizami Mustafa, Osman Altıntaş

Publication date: 6 September 2022

Published in: Turkish Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.55730/1300-0098.3256

zbMATH Keywords

\(q\)-derivativeconvex functioncoefficient boundquasi close-to-\(q\)-convex function

Mathematics Subject Classification ID

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) Coefficient problems for univalent and multivalent functions of one complex variable (30C50)

Cites Work

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• SOME PROPERTIES OF q CLOSE-TO-CONVEX FUNCTIONS
• Coefficient estimates for a class containing quasi-convex functions
• Coefficient bounds and distortion theorems for the certain analytic functions
• ON BASIC DOUBLE HYPERGEOMETRIC FUNCTIONS

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