In this paper, our interest is devoted to study the convex combinations of form (1 ? ?) f + ?1, where (0, 1), biholomorphic mappings on Euclidean unit ball Bn in case several complex variables. Starting from a result proved by S. Trimble [26] and then extended P.N. Chichra R. Singh [3, Theorem 2] which says that if starlike such Re[f ?(z)] > 0, (1??)z+?f (z) also starlike, we are interested ...

Abstract In the present investigation, we introduce and study interesting properties of a new unified class of pre-starlike functions with negative coefficients in the open unit disk ∆. These properties include growth and distortion, radii of convexity, radii of starlikeness and radii of close to convexity. 2000 Mathematics Subject Classification: 30C45.

Abstract. In this present investigation, authors introduce certain subclasses of starlike and convex functions of complex order b, using a linear multiplier differential operator D λ,μf(z). In this paper, for these classes the Fekete–Szegö problem is completely solved. Various new special cases of our results are also pointed out.

Abstract. We introduce a new subclass corresponding to the class of k−uniformly convex and starlike functions associated with HurwitzLerch zeta functions and determine many properties like the coefficient estimates, extreme points, closure theorem, distortion bounds, radii of starlikeness and convexity. Furthermore, we obtain an integral transform results, neighborhood results, integral means i...

In this paper, we derive conditions on the parameters a, b, c so that the function zF (a, b; c; z) is starlike in D, where F (a, b; c; z) denotes the classical hypergeometric function. We give some consequences of our results including some mapping properties of convolution operator.

We present a study of equilibrium chain-exchange kinetics of a well-defined model system for starlike polymeric micelles. The results show that the kinetics follows a logarithmic time dependence. The same feature has been confirmed for two other micellar systems. This is in sharp contrast to theoretical predictions and hints towards strongly coupled chain dynamics within the micellar cores indu...

In terms of Wright generalized hypergeometric function we define a class of analytic functions. The class generalize well known classes of k-starlike functions and k-uniformly convex functions. Necessary and sufficient coefficient bounds are given for functions in this class. Further distortion bounds, extreme points and results on partial sums are investigated.

For functions f(z) which are starlike of order α, convex of order α, and λ-spirallike of order α in the open unit disk U, some interesting sufficient conditions involving coefficient inequalities for f(z) are discussed. Several (known or new) special cases and consequences of these coefficient inequalities are also considered.

We consider the class of univalent functions f(z)= z+a3z3+a4z4+··· analytic in the unit disc and satisfying |(z2f ′(z)/f 2(z))−1|< 1, and show that such functions are starlike if they satisfy |(z2f ′(z)/f 2(z))−1|< (1/√2).