Neslihan Uyanik

Reciprocal classes of p-valently spirallike and p-valently Robertson functions

AbstractFor p-valently spirallike and p-valently Robertson functions in the open unit disk U, reciprocal classes Sp(α,β), and Cp(α,β) are introduced. The object of the present paper is to discuss some interesting properties for functions f(z) belonging to the classes Sp(α,β) and Cp(α,β). 2010 Mathematics Subject Classification Primary 30C45

Sufficient conditions for starlikeness of order α for meromorphic functions

Let Σ be the class of functions F(z) which are meromorphic in the punctured open unit disk U∗. Applying the results by Nunokawa [M. Nunokawa, On properties of non-Caratheodory functions, Proc. Japan Acad. 68 (1992) 152–153] and Fukui and Sakaguchi [S. Fukui and K. Sakaguchi, An extension of a theorem of S. Ruscheweyh, Bull. Fac. Edu. Wakayama Univ. Nat. Sci. 29 (1980) 1–3], we derive some sufficient conditions for meromorphic strongly starlikeness for function F(z)∈Σ with some interesting corollaries.

Radius properties for analytic and p-valently starlike functions

AbstractLet Ap be the class of functions f(z) which are analytic in the open unit disk U and satisfy zpf(z)≠0(z∈U). Also, let Sp*(α) denotes the subclass of Ap consisting of f(z) which are p-valently starlike of order α(0 ≦ α < p). A new subclass Up(λ) of Ap is introduced by z2zp-1f(z)-1z′≦λ(z∈U) for some real λ > 0. The object of the present paper is to consider some radius properties for f(z)∈Sp*(α) such that δ-pf(δz)∈Up(λ).2010 Mathematics Subject Classification: Primary 30C45.

On Certain Multivalent Starlike or Convex Functions with Negative Coefficients

By means of a differential operator, we introduce and investigate some new subclasses of -valently analytic functions with negative coefficients, which are starlike or convex of complex order. Relevant connections of the definitions and results presented in this paper with those obtained in several earlier works on the subject are also pointed out.