Hankel and Symmetric Toeplitz Determinants for a New Subclass of q-Starlike Functions
Isra Al-Shbeil, Jianhua Gong, Shahid Khan, Nazar Khan, Ajmal Khan, Mohammad Faisal Khan, Anjali Goswami
Abstract
This paper considers the basic concepts of q-calculus and the principle of subordination. We define a new subclass of q-starlike functions related to the Salagean q-differential operator. For this class, we investigate initial coefficient estimates, Hankel determinants, Toeplitz matrices, and Fekete-Szegö problem. Moreover, we consider the q-Bernardi integral operator to discuss some applications in the form of some results.
Topics & Concepts
Toeplitz matrixSubclassSubordination (linguistics)MathematicsDifferential operatorOperator (biology)Pure mathematicsClass (philosophy)Toeplitz operatorSymmetric functionDifferential (mechanical device)Algebra over a fieldComputer sciencePhysicsImmunologyGeneThermodynamicsBiologyPhilosophyTranscription factorChemistryBiochemistryLinguisticsArtificial intelligenceAntibodyRepressorAnalytic and geometric function theoryHolomorphic and Operator TheoryX-ray Diffraction in Crystallography