3,843 research outputs found
Hardy spaces and unbounded quasidisks
We study the maximal number for a given plane domain
such that whenever and is analytic in the unit
disk with values in One of our main contributions is an estimate of
for unbounded -quasidisks.Comment: 11 page
SURVEY ON INTEGRAL TRANSFORMS IN THE UNIVALENT FUNCTION THEORY (New Extension of Historical Theorems for Univalent Function Theory)
Migration system establishment and Korean immigrant association development in Germany and the United Kingdom
Abstract available; p. iii
A study on the turbulent transport of an advective nature in the fluid plasma
Advective nature of the electrostatic turbulent flux of plasma energy is
studied numerically in a nearly adiabatic state. Such a state is represented by
the Hasegawa-Mima equation that is driven by a noise that may model the
destabilization due to the phase mismatch of the plasma density and the
electric potential. The noise is assumed to be Gaussian and not to be invariant
under reflection along a direction . It is found that the flux density
induced by such noise is anisotropic: While it is random along , it is
not along the perpendicular direction and the flux is not
diffusive. The renormalized response may be approximated as advective with the
velocity being proportional to in the Fourier space
Sufficiency for Gaussian hypergeometric functions to be uniformly convex
Let F(a,b;c;z) be the classical hypergeometric function and f be a normalized analytic functions defined on the unit disk . Let an operator Ia,b;c(f) be defined by [Ia,b;c(f)](z)=zF(a,b;c;z)*f(z). In this paper the authors identify two subfamilies of analytic functions
ℱ1 and ℱ2 and obtain conditions on the parameters a,b,c such that f∈ℱ1 implies Ia,b;c(f)∈ℱ2
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