Some applications of generalized fractional calculus operators to a novel class of analytic functions with negative coefficients
In the present paper the author introduces a novel class \(T^{\mu,\varphi,\eta}_\lambda(n,\alpha)\) of functions which are analytic and univalent in the open unit disk \(U\). A necessary and sufficient condition for a function to be in the class \(T^{\mu,\varphi,\eta}_\lambda(n,\alpha)\) is obtained. This paper also includes distortion theorems involving generalized fractional integrals and generalized fractional derivatives, radii of close-to-convexity, starlikeness and convexity.
scientific article; zbMATH DE number 2148907