STARLIKENESS OF q-DIFFERENTIAL OPERATOR INVOLVING QUANTUM CALCULUS

DOI10.11568/KJM.2014.22.4.699OpenAlexW2152622900MaRDI QIDQ5217556

Darus, Maslina, Ibtisam Aldawish

Publication date: 24 February 2020

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

Full work available at URL: https://doi.org/10.11568/kjm.2014.22.4.699

zbMATH Keywords

analytic functionslinear operatorunivalent functionsstarlike functionsunit disk\(q-\) hypergeometric functions

Mathematics Subject Classification ID

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

Related Items (11)

Coefficient estimates for a certain family of analytic functions involving a \(q\)-derivative operator ⋮ New subfamily of meromorphic multivalent starlike functions in circular domain involving _q- differential operator ⋮ A new family of starlike functions in a circular domain involving a \(q\)-differential operator ⋮ Applications of some generalized Janowski meromorphic multivalent functions ⋮ Sandwich-type results regarding Riemann-Liouville fractional integral of \(q\)-hypergeometric function ⋮ A subfamily of univalent functions associated with \(q\)-analogue of Noor integral operator ⋮ On a subclass of analytic close-to-convex functions in q-analogue associated with Janowski functions ⋮ On Fekete-Szegö problems for certain subclasses of analytic functions defined by differential operator involving \(q\)-Ruscheweyh operator ⋮ Convolution properties for a family of analytic functions involvingq-analogue of Ruscheweyh differential operator ⋮ Some applications of a \(q\)-analogue of the Ruscheweyh type operator for multivalent functions ⋮ Unnamed Item

Cites Work

• Double integral operators concerning starlike of order \(\beta \)
• Classes of analytic functions associated with the generalized hypergeometric function,
• Some subordination results on \(q\)-analogue of Ruscheweyh differential operator
• On univalent functions defined by a generalized Sălăgean operator
• On the \(q\)-analog of the Laplace transform
• Double integral starlike operators†
• Starlike and Prestarlike Hypergeometric Functions
• New Criteria for Univalent Functions
• Applications of q-Calculus in Operator Theory
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