On a class of analytic functions associated to a complex domain concerning \(q\)-differential-difference operator

DOI10.1186/s13662-019-2446-0zbMath1487.30011OpenAlexW2995928582WikidataQ126578035 ScholiaQ126578035MaRDI QIDQ2142032

Rabha W. Ibrahim, Darus, Maslina

Publication date: 25 May 2022

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

Full work available at URL: https://doi.org/10.1186/s13662-019-2446-0

zbMATH Keywords

analytic functionunivalent functiondifferential operatorfractional calculusunit disk\(q\)-calculussubordination and superordination

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) 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) Difference operators (39A70) Difference equations, scaling ((q)-differences) (39A13) Coefficient problems for univalent and multivalent functions of one complex variable (30C50)

Related Items (4)

Entire solutions of a class of algebraic Briot-Bouquet differential equations utilizing majority concept ⋮ Unnamed Item ⋮ On quantum hybrid fractional conformable differential and integral operators in a complex domain ⋮ On subclasses of analytic functions based on a quantum symmetric conformable differential operator with application

Cites Work

• On subordination of some analytic functions
• Existence and uniqueness of holomorphic solutions for fractional Cauchy problem
• Certain results for a class of convex functions related to a shell-like curve connected with Fibonacci numbers
• On holomorphic solutions for nonlinear singular fractional differential equations
• On a class of analytic functions related to conic domains involving {\(q\)}-calculus
• On a certain univalent mapping
• On certain properties for some classes of starlike functions
• Subordination and superordination for univalent solutions for fractional differential equations
• On subclasses of schlicht mappings
• Fractional complex transforms for fractional differential equations
• Radius problems for starlike functions associated with the sine function
• On univalent functions defined by a generalized Sălăgean operator
• On Booth lemniscate and starlike functions
• A new class of analytic functions associated with Sălăgean operator
• A generalization of starlike functions
• Differential-Difference Operators Associated to Reflection Groups
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

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