In this paper, we obtain some subordination results for certian subclasses of univalent functions defined by convolution.

Let K(α), 0≤α< 1, denote the class of functions g(z)= z+∑∞n=2anzn which are regular and univalently convex of order α in the unit disc U . Pursuing the problem initiated by Robinson in the present paper, among other things, we prove that if f is regular in U , f(0) = 0, and f(z)+zf ′(z) < g(z)+zg′(z) in U , then (i) f(z) < g(z) at least in |z| < r0, r0 = √ 5/3 = 0.745 . . . if f ∈ K; and (ii) f...

We show that if (Xs, s ≥ 0) is a right-continuous process, Yt = ∫ t 0 dsXs its integral process and τ = (τl, l ≥ 0) a subordinator, then the time-changed process (Yτl , l ≥ 0) allows to retrieve the information about (Xτl , l ≥ 0) when τ is stable, but not when τ is a gamma subordinator. This question has been motivated by a striking identity in law involving the Bessel clock taken at an indepe...

If X(t) is a stochastic process taking values in some space 9C and g is a real-valued function on 9C then we may consider the process g(X(t)). Often from some knowledge about the process X(t) and the function g one can deduce properties of the process g(X(t)). For example: if X(t) is Brownian motion in R" and g is a subharmonic function on Rn that doesn't grow too fast then g(X(t)) is a semimar...

We are given two martingales on the filtration of the two dimensional Brownian motion. One is subordinated to another. We want to give an estimate of Lp-norm of a subordinated one via the same norm of a dominating one. In this setting this was done by Burkholder in [Bu1]–[Bu8]. If one of the martingales is orthogonal, the constant should drop. This was demonstrated in [BaJ1], when the orthogona...

Children's maternal, self, and marital representations were examined in 46 children 3 1/2 to 7 years old using the MacArthur Story Stem Battery. Children drawn from agencies serving battered women expressed fewer positive representations of their mothers and themselves, were more likely to portray interparental conflict as escalating, and were more avoidant and less coherent in their narratives...

our country, iran is one of the countries in the world population it has become a social problem. iran's population growth despite decreased rate in recent years is still relatively high and due to the young population, there is also the possibility of increased population growth in the coming years. this study aimed to assess the reproductive status of working women (in education and training ...

Robert Alter 4. As many modern commentators have noted, the first Creation account concludes with the summarizing phrase in the first half of this verse: " This is the tale [literally, these are the begettings] of the heavens and the earth when they were created," these two paired terms, "heavens" and "earth," taking us back in an envelope structure to the paired terms of the very first verse o...

the purpose of this paper is to derive various useful subordination properties and characteristics for certain subclass of multivalent meromorphic functions, which are defined here by the multiplier transformation. also, we obtained inclusion relationship for this subclass.