Neighborhoods of a certain class of analytic functions with negative coefficients
The author introduces a subclass of analytic functions in the open disc with negative coefficients. This new class is defined by means of multiplier transformations. Using the familiar concept of neighborhoods of analytic functions, the author proves coefficient inequalities, distortion theorems and associated inclusion relations for the \((n,\delta)\)-neighborhoods of functions belonging to the new class, which satisfy a certain nonhomogeneous Cauchy-Euler differential equation.
analytic function with negative coefficients
\((n,\delta)\)-neighborhood of an analytic function
scientific article; zbMATH DE number 5379954