Generalized Growth and Faber Polynomial Approximation of Entire Functions of Several Complex Variables in Some Banach Spaces

In this paper the relationship between the generalized order of growth of entire functions of many complex variables m (m \u3e= 2) over Jordan domains and the sequence of Faber polynomial approximations in some Banach spaces has been investigated. Our results improve the various results shown in the literature

Generalized Growth and Faber Polynomial Approximation Of Entire Functions of Several Complex Variables in Some Banach Spaces

In this paper the relationship between the generalized order of growth of entire functions of many complex variables m(m ≥ 2) over Jordan domains and the sequence of Faber polynomial approximations in some Banach spaces has been investigated. Our results improve the various results shown in the literature

On the Slow Growth and Approximation of Entire Function Solutions of Second-Order Elliptic Partial Differential Equations on Caratheodory Domains

In this paper we consider the regular, real-valued solutions of the second-order elliptic partial differential equation. The characterization of generalized growth parameters for entire function solutions for slow growth in terms of approximation errors on more generalized domains, i.e., Caratheodory domains, has been obtained. Moreover, we studied some inequalities concerning the growth parameters of entire function solutions of above equation for slow growth which have not been studied so far

Generalized Order and Best Approximation of Entire Function in -Norm

The aim of this paper is the characterization of the generalized growth of entire functions of several complex variables by means of the best polynomial approximation and interpolation on a compact with respect to the set Ω={∈;exp()≤}, where =sup{(1/)ln||,polynomialofdegree≤,‖‖≤1} is the Siciak extremal function of a -regular compact

LpL^p-approximation and generalized growth of generalized biaxially symmetric potentials on hyper sphere

The generalized order of growth and generalized type of an entire function $F^{\alpha,\beta}$ (generalized biaxisymmetric potentials) have been obtained in terms of the sequence $E_n^p(F^{\alpha,\beta},\Sigma_r^{\alpha,\beta})$ of best real biaxially symmetric harmonic polynomial approximation on open hyper sphere $\Sigma_r^{\alpha,\beta}$. Moreover, the results of McCoy [8] have been extended for the cases of fast growth as well as slow growth