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Про дію диференціального виразу нескінченного порядку в класах цілих функцій багатьох комплексних змінних

Про дію диференціального виразу нескінченного порядку в класах цілих функцій багатьох комплексних змінних

We investigate the action of the partial differential expression L(∂/∂z) of infinite order generally with constant coefficients, whose symbol is an entire function L(λ) of several complex variables, onto an entire function f(z), z О Cn. We specify the conditions on growth orders by the set of variab...

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Bibliographic Details
Main Authors: Каленюк, П.І., Нитребич, З.М.
Format: Article
Language:Ukrainian
Published: Видавничий дім "Академперіодика" НАН України 2007
Subjects:
Математика
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/1806
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Summary:We investigate the action of the partial differential expression L(∂/∂z) of infinite order generally with constant coefficients, whose symbol is an entire function L(λ) of several complex variables, onto an entire function f(z), z О Cn. We specify the conditions on growth orders by the set of variables of the entire functions L(λ) and f(z) providing the expression's action to be correct. We clarify also the growth order of the result of the expression's action as an entire function by the set of variables.

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