Majorization results for some classes of multivalent functions

Majorization Results for Some Classes of Multivalent Functions

In this paper we obtain some majorization results for some classes of multivalent functions defined by certain differential operator. Mathematics subject classification (2010): 30C45.

On Some Classes of Multivalent Starlike Functions

Classes of multivalent functions analogous to certain classes of univalent starlike functions are defined and studied. Estimates on coefficients and distortion are made, using a variety of techniques. 1. Let St denote the class of all functions/(z) = z + . . . analytic, univalent and starlike in the unit disc U. Such functions satisfy the condition Re(z/'(z)//(z)) >0,zGU. The problem of definin...

Some properties of extended multiplier transformations to the classes of meromorphic multivalent functions

 In this paper, we introduce new classes $sum_{k,p,n}(alpha ,m,lambda ,l,rho )$ and $mathcal{T}_{k,p,n}(alpha ,m,lambda ,l,rho )$ of p-valent meromorphic functions defined by using the extended multiplier transformation operator. We use a strong convolution technique and derive inclusion results. A radius problem and some other interesting properties of these classes are discussed.

Some Subordination Results of Multivalent Functions Defined by Integral Operator

On Certain Classes of Multivalent Analytic Functions

In this paper we introduce the class B(p, n, μ, α) of analytic and p-valent functions to obtain some sufficient conditions and some angular properties for functions belonging to this class.