The author considers a new class SHλum(α) of normalized analytic functions defined by a differential operator. Several basic properties and characteristics of the functions belonging to the class SHλum(α) are ...The author considers a new class SHλum(α) of normalized analytic functions defined by a differential operator. Several basic properties and characteristics of the functions belonging to the class SHλum(α) are investigated. These include integral rep- resentations, coefficient bounds, the Fekete^Szeg5 problem, class-preserving operators and Tg-neighborhoods.展开更多
文摘The author considers a new class SHλum(α) of normalized analytic functions defined by a differential operator. Several basic properties and characteristics of the functions belonging to the class SHλum(α) are investigated. These include integral rep- resentations, coefficient bounds, the Fekete^Szeg5 problem, class-preserving operators and Tg-neighborhoods.