On convolution and \(q\)-calculus

DOI10.1007/S40590-019-00258-YzbMath1435.30058OpenAlexW2969357741MaRDI QIDQ2189008

Krzysztof Piejko, Janusz Sokół

Publication date: 15 June 2020

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40590-019-00258-y

zbMATH Keywords

\(q\)-derivativeconvex functionsanalytic functionsstarlike functions\(q\)-calculus\(q\)-starlike

Mathematics Subject Classification ID

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

Related Items (4)

Study of generalized \(q\)-close-to-convex functions related to parabolic domain ⋮ On \(q\)-starlike functions ⋮ Generalized \(q\)-starlike harmonic functions ⋮ A conjecture on Marx-Strohhäcker type inclusion relation between \(q\)-convex and \(q\)-starlike functions

Cites Work

• A generalization of starlike functions of order alpha
• Certain classes of starlike functions
• Univalent functions. Selected topics
• Beitrag zur Theorie der schlichten Funktionen
• Hadamard products of schlicht functions and the Polya-Schoenberg conjecture
• Geometric properties of basic hypergeometric functions
• On a generalization of close-to-convex functions
• A generalization of starlike functions
• A Remark on Convex and Starlike Functions
• On the theory of univalent functions
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