Shaharuddin Cik Soh

Self-Regulated Learning and Online Learning: A Systematic Review

Self-regulated learning (SRL) is an academically effective form of learning, which learners must set their goals and make plans before starting to learn. As an ongoing process, learners need to monitor and regulate their cognition, motivation, and behavior as well as reflect on their learning process. These processes will be repeated as a cyclic process. The emerging technologies have changed the learning environments. Technology delivers teaching to learners via online. In online learning, information of education and learners do not share the same physical setting. Online learning should provide opportunities for learners to master necessary tasks. Online learners may use SRL strategies. In this research, we have collected, synthesized, and analyzed 130 articles on various topics related to SRL that published from 1986 to 2017, focusing on online learning and mathematics. We noted several models, phases, and few other topics discussed under SRL.

Third Hankel determinant for bounded turning functions of order alpha and rotation factor delta

Let R(α,δ) denote the subclass of normalized analytic functions in the open unit disk D={z∈ℝ:|z| α for some 0≤α 0. For f∈R(α,δ), the main aim of this paper is to obtain the upper bounds for the third Hankel determinant, |H3(1)|≤|a3||a2a4−a32|+|a4||a2a3−a4|+|a5||a3−a22|.Let R(α,δ) denote the subclass of normalized analytic functions in the open unit disk D={z∈ℝ:|z| α for some 0≤α 0. For f∈R(α,δ), the main aim of this paper is to obtain the upper bounds for the third Hankel determinant, |H3(1)|≤|a3||a2a4−a32|+|a4||a2a3−a4|+|a5||a3−a22|.

Coefficient bounds for a certain class of close-to-convex functions

Let R denote the subclass of normalized analytic univalent functions f defined by () n n n z a z

Radius of convexity of a certain class of close-to-convex functions

In the present paper, we consider and investigate a certain class of close-to-convex functions that defined in the unit disk, U = {z : |z| δ where |α| δ and 0 δ <1. Furthermore, we obtain preliminary result for bound f’(z) and determine result for radius of convexity.

The Fekete-Szegö theorem for a certain class of analytic function

Let Jρ (a, β) denote the subclass of normalized analytic functions f in the open unit disk D={z:|z| 0 for some 0 < α ≤ 1, 0 ≤ β < 1 where g (z) ∈ S* (ρ), g (z) ≠ 0 is a normalized starlike function of order ρ for 0 ≤ ρ < 1. For f ∈ J ρ (a, β), we obtain the sharp upper bounds for the Fekete – Szego functional |a3−μa22| where μ is real.

Some radius properties for a class of alpha-close-to-convex functions

In this paper, the concentration is on the class of α – close-to-convex functions, G k(α,δ) where functions f, analytic and univalent in the open unit disc E in this class satisfy the condition Re{eiαf′(z)g′(z)}>δ, with |α|≤π, cosα>δ, and g′(z)=11−z. We find the bounds for f(z)z and f′(z) and obtain results for the radius of univalence and the radius of starlikeness for the class G k (α,δ).

Coefficient bounds for a subclass of tilted univalent functions

Let Sα*(ω,δ,A,B) be the class of functions which are analytic and univalent in an open unit disc of the form f(z) = (z−ω)+ ∑ n = 2∞an(z−ω)n and normalized with f(ω) = 0 and f′(ω)−1 = 0 where ω is a fixed point in E and satisfy (eiα(z−ω)f′(z)f(z)−δ−isinα)1cosα−δ = 1+Aφ(z)1+Bφ(z),φ∈Ω(ω) where cosα > δ and |α|<π2. The aim of this paper is to obtain the coefficient bounds for this class of functions. The results generalize some known existing results in the literature.

Some extremal properties of a generalised Sakaguchi class of analytic functions

We define GSt(α,δ) be the class of function f,f(0) = f′(0)−1 = 0 and satisfying Re{eiαzf′(z)g(z)}>δ,0≤δ δ and g(z) = z1−z2. For this class of function, we find certain extremal properties and the bound of GSt(α,δ).

Convolution properties for certain subclass of analytic functions

Let S denote the class of analytic functions defined on Δ = {z:|z| γ for some α > 0, β ≥ 0 and 0 ≤ γ 0. By making use of the theorem proved by Ruscheweyh and Sheil-Small, some convolution properties of the class Gα,β(γ,δ) are obtained.