Let Ss(α) (0≤α< 1/2) be the class of functions f(z)= z+··· which are analytic in the unit disk and satisfy there Re{zf ′(z)/(f (z)−f(−z))} > α. In the present paper, we find the sharp lower bound on Re{(f (z)−f(−z))/z} and investigate two subclasses S0(α) and T0(α) of Ss(α). We derive sharp distortion inequalities and some properties of the partial sums for functions in the classes S0(α) and T0...

We discuss the two potentially important effects which should be taken into account in the analysis of the cosmological redshift-space distortion especially at high redshifts; the effect of inhomogeneities in the light propagation and the evolution of bias. Although such inhomogeneities affect significantly the degree of the cosmological redshift distortion, one can determine the density parame...

ethan kohlberg, the jewish orientalist and specialist on shi‘a, sees the distortion in holy scriptures, including quran, inevitable. from his point of view, some quranic verses confirm this point. his second proof is the history of the quran and the time when its whole text was written down. in his viewpoint,   hadiths which prove that the quran had been written down in abu bakr’s time ore orie...

The genome scan of the European-American schizophrenia families from the Human Genetics Initiative of the National Institute of Mental Health (NIMH) reported a suggestive linkage to chromosome 10p. Subsequently, Paterson and Petronis [1999] reported evidence for transmission ratio distortion on 10p to females. They suggested that transmission ratio distortion to females might have created spuri...

Let (X, ρ), (Y, σ) be metric spaces and f : X → Y an injective mapping. We put ‖f‖Lip = sup{σ(f(x), f(y))/ρ(x, y); x, y ∈ X, x 6= y}, and dist(f) = ‖f‖Lip .‖f ‖Lip (the distortion of the mapping f). Some Ramsey-type questions for mappings of finite metric spaces with bounded distortion are studied; e.g., the following theorem is proved: Let X be a finite metric space, and let ε > 0, K be given ...

We report structurally tuned superconductivity in KxFe2−ySe2−zSz (0 6 z 6 2) phase diagram. Superconducting Tc is suppressed as S is incorporated into the lattice, eventually vanishing at 80% of S. The magnetic and conductivity properties can be related to stoichiometry on poorly occupied Fe1 site and the local environment of nearly fully occupied Fe2 site. The decreasing Tc coincides with the ...

We introduce a simple modification to the Z-scan technique that results in a sensitivity enhancement that permits measurement of nonlinearly induced wave-front distortion -of A/10 . This sensitivity was achieved with 10-Hz repetition-rate pulsed laser sources. Sensitivity to nonlinear absorption is also enhanced by a factor of -3. This method permits characterization of nonlinear thin films wit...

Abstract. The aim of this paper is to obtain coefficient estimates, distortion theorems, convex linear combinations and radii of close-toconvexity, starlikeness and convexity for functions belonging to the subclass TSγ(f, g; α, β) of uniformly starlike and convex functions, we consider integral operators associated with functions in this class. Furthermore partial sums fn(z) of functions f(z) i...