In this paper, we study the ratio of harmonic multivalent functions to its sequences of partial sums.

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.

CCCTC-binding factor (CTCF) is a multi-functional protein that is assigned various, even contradictory roles in the genome. High-throughput sequencing-based technologies such as ChIP-seq and Hi-C provided us the opportunity to assess the multivalent functions of CTCF in the human genome. The location of CTCF-binding sites with respect to genomic features provides insights into the possible role...

We define and investigate a new class of Sǎlǎgean-type harmonic multivalent functions. we obtain coefficient inequalities, extreme points and distortion bounds for the functions in this class. 2000 Mathematics Subject Classification: 30C45, 30C50, 31A05.

We define and investigate a new class of Salagean-type harmonic multivalent functions. we obtain coefficient inequalities, extreme points and distortion bounds for the functions in our classes. 2000 Mathematical Subject Classification: 30C45, 30C50, 31A05.

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...

By using the method of differential subordination, we obtain some sufficient conditions for strongly p-valent starlikeness.

By making use of subordination between analytic functions and the Dziok-Srivastava operator, we introduce a new subclass of multivalent analytic functions. Such results as inclusion relationship, integral presentations and convolution properties for this function class are proved.

The main purpose of the present paper is to derive a new criterion for mul-tivalent starlike functions by applying Jack's lemma.

For analytic and multivalent functions f (z) and p(z) in the open unit disk U, a subordi-nation theorem due to Littlewood (1925) which was called the integral mean is applied. Some simple examples for our results are also considered.