Subclasses of spirallike multivalent functions

Some Results on Subclasses of Janowski λ-Spirallike Functions of Complex Order

We give some results of Janowski λ-spirallike functions of complex order in the open unit disc D = {z : |z| < 1}. 2000 Mathematical Subject Classification: Primary 30C45.

Subclasses of α-spirallike functions associated with Ruscheweyh derivatives

Certain subclasses of multivalent functions associated with a family of linear operators

Making use of a linear operator , which is defined here by means of the Hadamard product (or convolution), we introduce some new subclasses of multivalent functions and investigate various inclusion properties of these subclasses. Some radius problems are also discussed.

The Norm Estimates of Pre-Schwarzian Derivatives of Spirallike Functions and Uniformly Convex $alpha$-spirallike Functions

For a constant $alphain left(-frac{pi}{2},frac{pi}{2}right)$,  we definea  subclass of the spirallike functions, $SP_{p}(alpha)$, the setof all functions $fin mathcal{A}$[releft{e^{-ialpha}frac{zf'(z)}{f(z)}right}geqleft|frac{zf'(z)}{f(z)}-1right|.]In  the present paper, we shall give the estimate of the norm of the pre-Schwarzian derivative  $mathrm{T}...

Subclasses of Multivalent Harmonic Mappings Defined by Convolution

A new subclass of multivalent harmonic functions defined by convolution is introduced in this paper. The subclass generates known subclasses of multivalent harmonic functions, and thus provides a unified treatment in the study of these subclasses. Sufficient coefficient conditions are obtained that are also shown to be necessary when the functions have negative coefficients. Growth estimates an...