In this paper, we establish some results concerning the Hadamard product of certain meromorphic p-valent starlike and meromorphic p-valent convex functions analogous to those obtained by Vinod Kumar (J. Math. Anal. Appl. 113(1986), 230-234) and M. L. Mogra (Tamkang J. Math. 25(1994), no. 2, 157-162).

Making use of generalized Sǎlǎgean derivative operator in this paper, we define a unified class of starlike functions with negative coefficients and obtain subordination results, partial sums, integral transforms for this class. Further integral means and square root transformation results are discussed. AMS (MOS) Subject Classification Codes: 30C45

Given the hypergeometric function F (a, b; c; z) = ∞ P n=0 (a)n(b)n (c)n(1)n zn, we place conditions on a, b and c to guarante that zpF (a, b; c; z) will be in various subclasses of p-valent starlike and p-valent convex functions. Operators related to the hypergeometric function are also examined.

A straightforward strategy involving a RAFT process and ring-opening polymerization was used to construct symmetric reduction-responsive amphiphilic A(2m)B(2n)C(2) (m≈n≈ 3) starlike terpolymers with precise microstructure, which could be efficiently converted into thiol-functionalized telechelic stars, degraded A(m)B(n)C miktoarm stars and comblike-linear multiblock copolymers via postmodificat...

In this paper, involving Wgh operators W q ([α1]) and W p q ([α1 + 1]), a generalized class of k-uniformly starlike functions is defined. Some results on coefficient inequalities, inclusion and convolution properties for functions belonging to this class are derived. Our results generalize some of the previously obtained results as well as generate new ones.

In this paper we consider the classes of starlike functions of order α, convex functions of order α and we study the convexity and α-order convexity for some general integral operators. Several corollaries of the main results are also considered.

The objective of this paper is to obtain an upper bound to the second Hankel determinant |ap+1ap+3 − ap+2| for p-valent starlike and convex functions of order α, using Toeplitz determinants. AMS Mathematics Subject Classification (2010): 30C45, 30C50

We introduce the concept adaptive decomposition of signals into basic building blocks, of which each of non-negative analytic instantaneous frequency, called monocomponents. We propose certain methods based on p-starlike functions and Fourier expansions for such decomposition. We justify the terminology mono-component used in signal analysis.