A subclass of analytic functions defined by using certain operators of fractional calculus
Making use of certain operators of fractional calculus, the authors introduce a new class \(F_\delta(n, \lambda, \alpha)\) of functions which are analytic in the open unit disk \(U\) and obtain a necessary and sufficient condition for a function to be in the class \(F_\delta(n, \lambda, \alpha)\). They also determine the radii of close-to-convexity, starlikeness, and convexity. Finally, an application involving fractional calculus \(F_\delta(n, \lambda, \alpha)\) is considered.
scientific article; zbMATH DE number 825378
scientific article