On the Fekete-Szegő theorem for close-to-convex functions. (English) Zbl 0793.30006

Chonweerayoot, A.; Thomas, D. K.; Upakarnitikaset, W.

Publ. Inst. Math., Nouv. Sér. 52(66), 18-26 (1992).

The authors extend work of the reviewer [Arch. Math. 49, 420-433 (1987; Zbl 0635.30020)] on the Fekete-Szegö problems for close-to-convex functions of order \(\beta\), and of H. R. Abdel-Gawad and D. K. Thomas [Proc. Am. Math. Soc. 114, No. 2, 345-349 (1992; Zbl 0741.30008)] who had considered a certain subclass.

Reviewer: W.Koepf (Berlin)

MSC:

30C45

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

Keywords:

close-to-convex functions

Citations:

Zbl 0635.30020; Zbl 0741.30008