Logarithmic Coefficients for Some Classes Defined by Subordination

Some analytic and multivalent functions defined by subordination property

In this paper we introduce some functions which are multivalently analytic defined by the subordination property and the DziokSrivastava linear operator. We obtain characterizing property, growth and distortion inequalities, closure theorem, extreme points, radius of starlikeness, convexity, and close-to-convexity for the functions in the class. We also discuss inclusion and neighbourhood prope...

Some Subordination Results of Multivalent Functions Defined by Integral Operator

Starlikeness and Convexity Conditions for Classes of Functions Defined by Subordination

We consider the family P(1, b), b > 0, consisting of functions p analytic in the open unit disc U with the normalization p(0) = 1 which have the disc formulation |p − 1| < b in U. Applying the subordination properties to certain choices of p using the functions fn(z) = z + ∑∞ k=1+n akz , n = 1, 2, ..., we obtain inclusion relations, sufficient starlikeness and convexity conditions, and coeffici...

On Subordination Results for Certain New Classes of Analytic Functions Defined by Using Salagean Operator

In this paper we derive several subordination results for certain new classes of analytic functions defined by using Salagean operator.

Groups and Semigroups Defined by some Classes of Mealy Automata

Two classes of finite Mealy automata (automata without branches, slowmoving automata) are considered in this article. We study algebraic properties of transformations defined by automata of these classes. We consider groups and semigroups defined by automata without branches.