New classes of non-normalized meromorphically multivalent functions. (English) Zbl 1146.30008
The authors, by making use of certain differential operators, introduce two new classes of non-normalized meromorphically multivalent functions with complex coefficients in the punctured unit disk. They give for these classes an inclusion theorem and several consequences.
Reviewer: Dorin Blezu (Sibiu)
MSC:
30C45 | Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) |
32A20 | Meromorphic functions of several complex variables |
30A10 | Inequalities in the complex plane |