Some Properties of Close-To-Convex Functions Associated with A Strip Domain

Using subordination, we introduce a new class of symmetric functions associated with a vertical strip domain. We have provided some interesting deviations or adaptation which are helpful in unification and extension of various studies of analytic functions. Inclusion relations, geometrical interpretation, coefficient estimates, inverse function coefficient estimates and solution to the Fekete-Szeg\H{o} problem of the defined class are our main results.  Applications of our main results are given as corollaries.

کلیدواژه ها:

Starlike function ، convex function ، Vertical domain ، Fekete-Szeg\H{o} inequality ، Subordination