Research on Geometric Mappings in Complex Systems Analysis

Abstract EN

We mainly discuss the properties of a new subclass of starlike functions, namely, almost starlike functions of complex order λ , in one and several complex variables.

We get the growth and distortion results for almost starlike functions of complex order λ .

By the properties of functions with positive real parts and considering the zero of order k , we obtain the coefficient estimates for almost starlike functions of complex order λ on D .

We also discuss the invariance of almost starlike mappings of complex order λ on Reinhardt domains and on the unit ball B in complex Banach spaces.

The conclusions contain and generalize some known results.