See Keong Lee

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Estimates on the initial coefficients are obtained for normalized analytic functions f in the open unit disk with f and its inverse g = f satisfying the conditions that zf (z)/f(z) and zg(z)/g(z) are both subordinate to a starlike univalent function whose range is symmetric with respect to the real axis. Several related classes of functions are also(More)
A new theoretical model of grammatical picture generation called extended 2D context-free picture grammar (E2DCFPG) generating rectangular picture arrays of symbols is introduced. This model which allows variables in the grammar and uses the squeezing mechanism of forming the picture language over terminal symbols, is an extension of the pure 2D(More)
*Correspondence: 1School of Mathematical Sciences, Universiti Sains Malaysia, 11800 USM, Penang, Malaysia Full list of author information is available at the end of the article Abstract The estimates for the second Hankel determinant a2a4 – a3 of the analytic function f (z) = z + a2z + a3z + · · · , for which either zf ′(z)/f (z) or 1 + zf(More)
The T violating transverse muon polarizations in K → πμν and K → μνγ decays due to tensor interactions are studied. The magnitudes of these polarizations over the allowed phase space are presented. Although the standard model has been an enormous success in explaining experimental data, it is generally anticipated that there is new physics in higher energy(More)
In membrane computing, P system has proved to be a rich framework for handling a variety of problems arising in different areas. In this note we examine an array-rewriting P system for rectangular picture array generation. This system makes use of Pure 2D context-free grammar rules in its regions. We obtain certain comparison results that bring out the(More)
Motivated by the structure and functioning of the livingcell, a new computing model, called P System, was proposedin the area of Membrane Computing. Among severalareas of application of P systems, one area is concernedwith generation of picture array languages. Ceterchiet al. [1] initially proposed array-rewriting P systemsby extending the notion of(More)
and Applied Analysis 3 Theorem 1.3 see 12 . Let c2k c2k 1 μ k/k!, μ ∈ 0, 1 . For any positive integer n and 0 < θ < π , then i ∑n k 0 ck cos kθ > 0 if and only if 0 < μ ≤ μ0, ii ∑2n 1 k 1 ck sin kθ > 0 if and only if 0 < μ ≤ μ0, iii ∑2n k 1 ck sin kθ > 0 if 0 < μ ≤ 1/2. Here μ0 0.691556 · · · is the unique root in 0, 1 of ∫3π/2 0 cos t t1−μ dt 0. 1.6 2.(More)