No abstract

The authors investigate several majorization problems involving starlike and convex functions of complex order as well as functions belonging to a certain class R(h, y) which they introduce here. Relevant connections of the main results obtained in this paper with those given by earlier workers on the subject are also pointed out.

By making use of the familiar concept of neighborhoods of analytic and p-valent functions, the authors prove coefficient bounds and distortion inequalities, and associated inclusion relations for the (n, 5)-neighborhoods of a family of multivalent functions with negative coefficients, which is defined by means of a certain nonhomogeneous Cauchy-Euler differential equation. Relevant connections of the various function classes investigated in this paper with those considered by earlier workers on the subject are also mentioned. ~)

The object of the present paper is to give some subordination properties of integral operator ᏼ α which was studied by Jung in 1993.

In this work, the authors introduce several new subclasses of analytic functions in the unit disk and investigate various inclusion properties of these subclasses. Also, we determine inclusion relationships between these new subclasses and other known classes.