Application of Chebyshev polynomials to Certain Subclass of Non-Bazilevi´c Functions
Abstract
In this paper, we introduce a new certain subclass N(, , t) of Non-
Bazilevi´c analytic functions of type (1−alfa) by using the Chebyshev polynomials
expansions. We investigated some basic useful characteristics for
this class, also we obtain coefficient bounds and Fekete-Szeg¨o inequalities
for this class. This class is considered a general case for some of the
previously studied classes. Further we discuss its consequences.
Bazilevi´c analytic functions of type (1−alfa) by using the Chebyshev polynomials
expansions. We investigated some basic useful characteristics for
this class, also we obtain coefficient bounds and Fekete-Szeg¨o inequalities
for this class. This class is considered a general case for some of the
previously studied classes. Further we discuss its consequences.