The optical disector is among the most efficient cell counting methods, but its accuracy depends on an undistorted particle distribution in the z-axis of tissue sections. Because the optical disector samples particle densities exclusively in the center of sections, it is essential for unbiased estimates of particle numbers that differential shrinkage or compression (and resulting differences in...

where h and g are analytic in the unit disk D = {z : |z| < 1}. A sufficient coefficient condition for this function in the class HM(β, λ, k, ν) and a necessary and sufficient coefficient condition for the function f in the class HM(β, λ, k, ν) are determined. We investigate inclusion relations, distortion theorem, extreme points, convex combination and other interesting properties for these fam...

In the present investigation, the authors define a new class of meromorphic functions defined in the punctured unit disk ∆∗ := {z ∈ C : 0 < |z| < 1} by making use of the generalized Dziok-Srivastava operator L1 η,l,m. Coefficient inequalities, growth and distortion inequalities, as well as closure results are obtained. We also establish some results concerning the partial sums of meromorphic fu...

We summarize a series of our recent work concerning the cosmological redshift-space distortion and light-cone effects. After briefly describing the theoretical formalism, we show how those effects are sensitive to the cosmological parameters. Then we apply this formalism to predict the two-point correlation functions and power spectra for the X-ray clusters, galaxies and quasars in future surve...

M. H. Al-Abbadi and M. Darus 2009 recently introduced a new generalized derivative operator μ λ1 ,λ2 , which generalizedmany well-known operators studied earlier by many different authors. In this present paper, we shall investigate a new subclass of analytic functions in the open unit disk U {z ∈ C : |z| < 1} which is defined by new generalized derivative operator. Some results on coefficient ...

In the present investigation we define a new class of meromorphic functions on the punctured unit disk Δ∗ := {z ∈ C : 0 < |z| < 1} by making use of the generalized Dziok–Srivastava operator Hl m [α1]. Coefficient inequalities, growth and distortion inequalities, as well as closure results are obtained. We also establish some results concerning the partial sums of meromorphic functions and neigh...

The main object of this paper is to study the subclass SC(γ, λ, β) of analytic univalent functions with negative coefficients in unit disc U = {z : |z| < 1}. Further coefficient estimates, distortion theorem and integral operators for this class are also obtained. We also discuss radii of convexity and closure properties for functions belonging to the class SC(γ, λ, β). 2000 Mathematics Subject...

Abstract The main objective of this paper is to obtain necessary and sufficient condition for a subclass of uniformly convex functions and corresponding subclass of starlike functions with fixed second coefficient defined by Carlson and Shaffer operator for the function f(z) in UCT (α, β). Furthermore, we obtain extreme points, distortion bounds and closure properties for f(z) in UCT (α, β) by ...

This paper presents the analysis for different control techniques in Z-source inverters. The voltage gain versus modulation index from simulation result is compared with the mathematical calculated voltage gain. Further detailed analysis of %THD, %harmonics of output voltage at different modulation indexes for different boosting techniques of a Z-source inverter are also performed with respect ...

The projection on the base plane of a regular minimal surface S in R with isothermal parameters defines a complex-valued univalent harmonic function f = h(z) + g(z). The aim of this paper is to obtain the distortion inequalities for the Weierstrass-Enneper parameters of the minimal surface for the harmonic multivalent functions for which analytic part is an m-valent convex function. 2000 Mathem...