Vol. LXXIV, 2 (2005)
p. 149 - 161

Coefficient estimates in subclasses of the Caratheodory class related to conical domains
S. Kanas

Abstract.  We study some properties of subclasses of of the Caratheodory class of functions, related to conic sections, and denoted by P(p_k). Coefficients bounds, estimates of some functionals are given.

Keywords: the Caratheodory class, extremal problems, Fekete-Szego-Goluzin functional  

AMS Subject classification:  34A25, 30C35, 33E05, 30C45.