Subclasses of analytic functions defined by a generalized differential operator. (English) Zbl 1195.30031

Răducanu, Dorina; Orhan, Halit

Int. J. Math. Anal., Ruse 4, No. 1-4, 1-15 (2010).

Summary: Making use of a generalized differential operator, we introduce certain new subclasses of analytic functions. Various results including coefficient estimates, growth and distortion theorems, radii of starlikeness, convexity and close-to-convexity are obtained.

MSC:

30C45

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.)

Keywords:

analytic functions; generalized differential operator; Fekete-Szegö functional