ON WEIGHTED CLASSES OF ENTIRE FUNCTIONS IN $\mathbb{C}^n$

A. I. Petrosyan

doi:10.46991/PYSU:A/2006.40.1.017

ON WEIGHTED CLASSES OF ENTIRE FUNCTIONS IN $\mathbb{C}^n$

Authors

A. I. Petrosyan Chair of the Theory of Functions, YSU, Armenia

DOI:

https://doi.org/10.46991/PYSU:A/2006.40.1.017

Keywords:

weighted classes, parameter-function, complex variables

Abstract

In the paper the weighted classes $A_{\omega}^2(\mathbb{C}^n)$ t of entire functions of several complex variables are introduced. These classes depend on parameter-function $\omega(x)$ and they are arbitrarily large. For functions belonging to $A_{\omega}^2(\mathbb{C}^n)$ the integral representation is obtained.

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Published

2006-03-07

How to Cite

Petrosyan, A. I. (2006). ON WEIGHTED CLASSES OF ENTIRE FUNCTIONS IN $\mathbb{C}^n$. Proceedings of the YSU A: Physical and Mathematical Sciences, 40(1 (209), 17–22. https://doi.org/10.46991/PYSU:A/2006.40.1.017