Second Hankel Determinant for the Subclass of Bi-Univalent Functions Using q-Chebyshev Polynomial and Hohlov Operator
Isra Al-Shbeil, Timilehin Gideon Shaba, Adriana Cătaş
Abstract
The q-derivative and Hohlov operators have seen much use in recent years. First, numerous well-known principles of the q-derivative operator are highlighted and explained in this research. We then build a novel subclass of analytic and bi-univalent functions using the Hohlov operator and certain q-Chebyshev polynomials. A number of coefficient bounds, as well as the Fekete–Szegö inequalities and the second Hankel determinant are provided for these newly specified function classes.
Topics & Concepts
MathematicsOperator (biology)SubclassChebyshev filterChebyshev polynomialsPolynomialDerivative (finance)Chebyshev nodesPure mathematicsFunction (biology)Discrete mathematicsAlgebra over a fieldMathematical analysisAntibodyBiologyImmunologyChemistryEvolutionary biologyFinancial economicsTranscription factorBiochemistryRepressorGeneEconomicsAnalytic and geometric function theoryMathematical functions and polynomialsX-ray Diffraction in Crystallography