Hankel Determinants for New Subclasses of Analytic Functions Related to a Shell Shaped Region
G. Murugusundaramoorthy, Teodor Bulboacă
Abstract
Using the operator L c a defined by Carlson and Shaffer, we defined a new subclass of analytic functions ML c a ( λ ; ψ ) defined by a subordination relation to the shell shaped function ψ ( z ) = z + 1 + z 2 . We determined estimate bounds of the four coefficients of the power series expansions, we gave upper bound for the Fekete–SzegőSzegő functional and for the Hankel determinant of order two for f ∈ ML c a ( λ ; ψ ) .
Topics & Concepts
Subordination (linguistics)Analytic functionMathematicsSubclassPower seriesShell (structure)Operator (biology)Pure mathematicsFunction (biology)Series (stratigraphy)CombinatoricsMathematical analysisChemistryComposite materialRepressorTranscription factorEvolutionary biologyImmunologyMaterials scienceAntibodyBiochemistryPhilosophyGeneBiologyPaleontologyLinguisticsAnalytic and geometric function theoryHolomorphic and Operator TheoryMathematical functions and polynomials