Coefficient estimates for the inverses of a certain general class of spirallike functions

摘要

In the present paper, the authors derive several sharp coefficient estimates for the function class Sˆαβ-1 consisting of the inverses of functions in a certain class Sˆαβ of spirallike functions in the open unit disk U, which was introduced by Libera. They also obtain a number of sharp coefficient bounds of functions in the more general classes Σαβ and Σαβ-1, each of which is introduced here. Some of the results derived in this paper would generalize those in a recent work of Kapoor and Mishra.