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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| Date: | 2007 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Видавничий дім "Академперіодика" НАН України
2007
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Про дію диференціального виразу нескінченного порядку в класах цілих функцій багатьох комплексних змінних / П.І. Каленюк, З.М. Нитребич // Доп. НАН України. — 2007. — N 6. — С. 11–16. — Бібліогр.: 7 назв. — укp. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| 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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