in this paper‎, ‎we introduce a new class$t_{k}^{s,a}[a,b,alpha‎ ,‎beta ]$ of analytic functions by using a‎ ‎newly defined convolution operator‎. ‎this class contains many known classes of‎ ‎analytic and univalent functions as special cases‎. ‎we derived some‎ ‎interesting results including inclusion relationships‎, ‎a radius problem and‎ ‎sharp coefficient bound for this class‎.

in this paper‎, ‎we consider a general integral operator $g_n(z).$ the main object of the present paper is to study some properties of this integral operator on the classes $mathcal{s}^{*}(alpha),$ $mathcal{k}(alpha),$ $mathcal{m}(beta),$ $mathcal{n}(beta)$ and $mathcal{kd}(mu,beta).$‎

it is known that the condition $mathfrak {re} left{zf'(z)/f(z)right}>0$, $|z|

let $p$ be an analytic function defined on the open unit disc $mathbb{d}$ with $p(0)=1.$ the conditions on $alpha$ and $beta$ are derived for $p(z)$ to be subordinate to $1+4z/3+2z^{2}/3=:varphi_{c}(z)$ when $(1-alpha)p(z)+alpha p^{2}(z)+beta zp'(z)/p(z)$ is subordinate to $e^{z}$. similar problems were investigated for $p(z)$ to lie in a region bounded by lemniscate of bernoulli $|w^{2}-1...

in this paper, a local approach to the concept of hudetz $g$-entropy is presented. the introduced concept is stated in terms of hudetz $g$-entropy. this representation is based on the concept of $g$-ergodic decomposition which is a result of the choquet's representation theorem for compact convex metrizable subsets of locally convex spaces.

in this paper, we first introduce the notion of $c$-affine functions for $c> 0$.then we deal with some properties of strongly convex functions in real inner product spaces by using a quadratic support function at each point which is $c$-affine. moreover, a hyers–-ulam stability result for strongly convex functions is shown.

This work presents a methodology, based on the modeling of an electrical power system test created in PSCAD/EMTDC simulation environment. The purpose is to evaluate, at first, impacts that Thyristor Controlled Series Compensator (TCSC) and Static Var (SVC) cause transient angular stability generators against disturbances, evaluating rotor displacement synchronous under analysis. In second momen...

A human hormone-synthesizing trophoblastic cell system has been established in vitro and may prove to be the first func tional human embryonic cell line in continuous culture. Chorionic gonadotropin hormone produced by these cultures serve as a marker for identification of the trophoblastic cell. No interruption in this property nor change in cytologie display has occurred during 1.5 years in c...

Direct cortical stimulation (DCS) is an intraoperative technique that uses electrodes placed directly on the exposed cortical surface of the brain to stimulate activity of functional areas by simultaneously recording the evoked responses peripherally. DCS is very precise and re‐ liable and can be considered the gold standard in brain mapping and intraoperative func‐ tional monitoring. Neverthel...

| In the DeeDS prototype, active database func-tionality and critical timing constraints are combined with integrated monitoring techniques. In the scope of DeeDS, this paper presents a mathematical model which is used to derive two important design constraints; worst-case minimum delay and maximum frequency of events. This model is based on a dual-processor hybrid-monitoring solution. Furtherm...