Zeros of certain polynomials and analytic functions with restricted coefficients

On the Zeros of Polynomials with Restricted Coefficients

It is proved that a polynomial p of the form

Neighborhoods of certain classes of analytic functions with negative coefficients

Neighborhoods of Certain Subclasses of Analytic Functions with Negative Coefficients

The main object of this paper is to prove several inclusion relations associated with (j, δ)-neighborhoods of various subclasses defined by Salagean operator by making use of the familiar concept of neighborhoods of analytic functions. Special cases of some of these inclusion relations are shown to yield known results.

The Calculation of Zeros of Polynomials and Analytic Functions

Certain Subclasses of Analytic p-valent Functions with Negative Coefficients

Abstract. The object of the present paper is to study certain subclasses J∗ p (a, b, σ) and Cp(a, b, σ) of analytic p-valent functions, and obtain coefficient bounds and distortion properties for functions belonging to these subclasses. Further results include distortion inequalities and radii of close-toconvexity, starlikeness and convexity for these classes of functions.