Some Properties of Compact Natural Sets in Several Complex Variables.

Some inequalities in connection to relative orders of entire functions of several complex variables

Let f, g and h be all entire functions of several complex variables. In this paper we would like to establish some inequalities on the basis of relative order and relative lower order of f with respect to g when the relative orders and relative lower orders of both f and g with respect to h are given.

Some Remarks Concerning Quasiconformal Extensions in Several Complex Variables

On Some Problems in Several Complex Variables and Cr Geometry

0. Introduction. Geometric analysis in several complex variables and Cauchy Riemann geometry has been a quite active subject in pure and applied mathematics for decades. The classical work of Poincaré, Hartogs, Levi, E. Cartan, etc at the beginning of the century laid down part of the frame work of such a study. Since then, more and more attention has be paid to this field, as people discover i...

Some Results Related to Group Actions in Several Complex Variables

In this talk, we’ll present some recent results related to group actions in several complex variables. We’ll not aim at giving a complete survey about the topic but giving some our own results and related ones. We’ll divide the results into two cases: compact and noncompact transformation groups. We emphasize some essential differences between the two cases. In the compact case, we’ll mention s...

Ruscheweyh Differential Operator Sets of Basic Sets of Polynomials of Several Complex Variables in Hyperelliptical Regions

The idea of the basic sets of polynomials of one complex variable appeared in 1930’s by Whittaker [33,34,35] who laid down the definition of a basic sets and their effectiveness. The study of the basic sets of polynomials of several complex variables was initiated by Mursi and Makar [25,26], Nassif [27], Kishka and others [13,14,17,18,19], where the representation in polycylindrical and hypersp...