GELFOND-LEONTYEV GENERAL DIFFERETIATION OPERATORS AND BRENKE POLYNOMIALS

GELFOND-LEONTYEV GENERAL DIFFERETIATION OPERATORS AND BRENKE POLYNOMIALS

Natural connection between Gelfond-Leontyev generalized derivation operators (GDO) and  Brenke polynomials is established. Operator extension criterion commuting with GDO up to continuous H(G) space is derived. Domain class when characteristic function of the complex convolution operator always has...

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Bibliographic Details
Main Author: Alexander V. BRATISHCHEV
Format: Article
Language:Russian
Published: Don State Technical University 2010-10-01
Series:Advanced Engineering Research
Subjects:
gelfond-leontyev generalized derivative
brenke polynomials
dankle derivative
commutation
generalized complex convolution
hypercyclic and chaotic operators.
Online Access:https://www.vestnik-donstu.ru/jour/article/view/1046
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