Classes of multivalent analytic functions with Montel’s normalization. (English) Zbl 1294.30017
Summary: We define classes of functions with Montel’s normalization. We investigate the coefficients estimates, distortion properties, the radii of starlikeness and convexity, subordination theorems, partial sums and integral means inequalities for the defined classes of functions. Some remarks depicting consequences of the main results are also mentioned.
MSC:
30C45 | Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) |
30C50 | Coefficient problems for univalent and multivalent functions of one complex variable |
30C55 | General theory of univalent and multivalent functions of one complex variable |