A new family of starlike functions in a circular domain involving a \(q\)-differential operator

DOI10.3103/S1068362319060037zbMath1436.30011OpenAlexW2996826566MaRDI QIDQ2173208

Yanyan Li

Publication date: 22 April 2020

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1068362319060037

zbMATH Keywords

class of analytic functions in disk\(q\)-differential operatordistortion bounds, coefficient estimates, radius of star-likeness, radius of convexity

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Coefficient problems for univalent and multivalent functions of one complex variable (30C50)

Cites Work

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• Some subordination results on \(q\)-analogue of Ruscheweyh differential operator
• A subclass of harmonic univalent functions associated with \(q\)-analogue of Dziok-Srivastava operator
• Geometric and approximation properties of some singular integrals in the unit disk
• On the Durrmeyer type modification of the \(q\)-Baskakov type operators
• Coefficient estimates of new classes of q-starlike and q-convex functions of complex order
• Some class of analytic functions related to conic domains
• Generalized q-Baskakov operators
• ON q-BASKAKOV TYPE OPERATORS
• New Criteria for Univalent Functions
• STARLIKENESS OF q-DIFFERENTIAL OPERATOR INVOLVING QUANTUM CALCULUS
• GEOMETRIC AND APPROXIMATION PROPERTIES OF GENERALIZED SINGULAR INTEGRALS IN THE UNIT DISK
• On the Coefficients of Subordinate Functions

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