We say that a class F consisting of analytic functions f(z)=?n=0?anzn in the unit disk D:={z?C:|z|<1} satisfies Bohr phenomenon if there exists rf?(0,1) such that?n=1?|anzn|?d(f(0),?f(D)) for every function f?F and |z|=r?rf, where d is Euclidean distance. The largest radius rf F. In this paper, we establish classes Ma-Minda type starlike convex as well with respect to boundary point.

Sharp upper and lower bounds for the second third order Hermitian–Toeplitz determinants are obtained some general subclasses of starlike convex functions. Applications these results also discussed several widely known classes.

Abstract The aim of this paper is to prove the theorem which generates many examples functions belonging a geometrically defined class uniformly starlike introduced by Goodman in 1991. Only very few explicit were known until now. Next we obtain inclusion relations between some subclasses convex and functions.

An extension of k-uniformly starlike and convex functions are introduced by making use of an integral operator. Inclusion relations and coefficient bounds for these classes are determined and consequently, some known results are generalized. 2000 Mathematics Subject Classification: Primary 30C45; Secondary 30C50.

Srivastava-Attiya operator is used to define some new subclasses of strongly starlike and strongly convex functions of order β and type α in the open unit disk U . For each of these new function classes, several inclusion relationships are established. Some interesting corollaries and applications of the results presented here are also discussed. Mathematics subject classification (2000): 30C45...

Making use of the generalized hypergeometric functions, we define a new subclass of uniformly convex functions and a corresponding subclass of starlike functions with negative coefficients and obtain coefficient estimates, extreme points, the radii of close-to-convexity, starlikeness and convexity, and neighborhood results for the class TSm α, β, γ . In particular, we obtain integral means ineq...

Abstract: The aim of this paper is to introduce and study two subclasses of multivalent functions involving generalized Sălăgean operator. Our classes M m,σ p,n (γ;η) and N m,σ p,n (α ,β ;η) unify the standard classes of multivalent starlike functions of order η , multivalent convex functions of order η , and Bazilević functions. Some connections between our classes are obtained and several con...