Certain Coefficient Estimate Problems for Three-Leaf-Type Starlike Functions

Coefficient Estimates for Certain New Subclasses of Starlike Functions of Complex Order (communicated by Hari Srivastava)

In the present paper, we consider the coefficient estimates for functions in certain new subclasses of starlike and convex functions of complex order γ, which are introduced by means of a generalized differential operator and non-homogeneous Cauchy-Euler type differential equation. Several corollaries and consequences of the main results are also obtained.

On Certain Classes of Meromorphically Starlike Functions

The object of the present paper is to introduce a new class E,(a) of meromorphic functions defined by a multiplier transformation and to investigate some properties for the class Further we study integrals offunctions in

Coefficient Inequalities for Certain Classes of Sakaguchi Type Functions

for complex numbers s, t with s ∕= t and for α(0 ≤ α < 1). Sufficient condition involving coefficient inequalities for f(z) to in the class S(α, t) and T (α, s, t) are obtained, where f(z) ∈ T (α, s, t) if and only if zf ′(z) ∈ S(α, s, t). Our main result contain some interesting corollaries (known or new) as special cases.

Certain Coefficient Estimates for Bi-univalent Sakaguchi Type Functions

Estimates on the initial coefficients are obtained for normalized analytic functions f in the open unit disk with f and its inverse g = f−1 satisfying the conditions that zf ′(z)/f(z) and zg′(z)/g(z) are both subordinate to a starlike univalent function whose range is symmetric with respect to the real axis. Several related classes of functions are also considered, and connections to earlier kn...

Certain Integral Operator and Strongly Starlike Functions