×

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