A Certain Subclass of Analytic Functions Related to \(\textsf{q}-\) Calculus and Their Second Hankel Determinant
摘要
In this paper, we introduce a new subclass of analytic functions defined on the symmetry domain \(\nabla \) . The subclass is characterized by a derivative operator associated with quantum calculus. We obtain estimations for the Fekete-Szegö functional problems and for the absolute values of the second and third Taylor-Maclaurin coefficients of functions belonging to this new subclass. Additionally, we derive exact upper bounds for the second Hankel functional.