Meixner polynomials and their properties

A number of properties of a special case of Meixner polynomials given by their generating function are investigated. These polynomials arise when applying the Cayley transformation method to solving the first bounda ryvalue problem for an abstract differential equation of the second order with an un...

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Bibliographic Details
Main Author:	V.L. Makarov
Format:	Article
Language:	English
Published:	Publishing House "Akademperiodyka" 2019-07-01
Series:	Доповiдi Нацiональної академiї наук України
Subjects:	Cayley transformation method generating function Green function Meixner polynomials
Online Access:	http://dopovidi-nanu.org.ua/en/archive/2019/7/1

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record_format	Article
spelling	doaj-54258ae08a0a4cb0bbd7ab5995c243562020-11-25T02:19:02ZengPublishing House "Akademperiodyka"Доповiдi Нацiональної академiї наук України1025-64152518-153X2019-07-0173810.15407/dopovidi2019.07.003Meixner polynomials and their propertiesV.L. Makarov0Institute of Mathematics of the NAS of Ukraine, KyivA number of properties of a special case of Meixner polynomials given by their generating function are investigated. These polynomials arise when applying the Cayley transformation method to solving the first bounda ryvalue problem for an abstract differential equation of the second order with an unbounded operator coefficient.http://dopovidi-nanu.org.ua/en/archive/2019/7/1Cayley transformation methodgenerating functionGreen functionMeixner polynomials
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	V.L. Makarov
spellingShingle	V.L. Makarov Meixner polynomials and their properties Доповiдi Нацiональної академiї наук України Cayley transformation method generating function Green function Meixner polynomials
author_facet	V.L. Makarov
author_sort	V.L. Makarov
title	Meixner polynomials and their properties
title_short	Meixner polynomials and their properties
title_full	Meixner polynomials and their properties
title_fullStr	Meixner polynomials and their properties
title_full_unstemmed	Meixner polynomials and their properties
title_sort	meixner polynomials and their properties
publisher	Publishing House "Akademperiodyka"
series	Доповiдi Нацiональної академiї наук України
issn	1025-6415 2518-153X
publishDate	2019-07-01
description	A number of properties of a special case of Meixner polynomials given by their generating function are investigated. These polynomials arise when applying the Cayley transformation method to solving the first bounda ryvalue problem for an abstract differential equation of the second order with an unbounded operator coefficient.
topic	Cayley transformation method generating function Green function Meixner polynomials
url	http://dopovidi-nanu.org.ua/en/archive/2019/7/1
work_keys_str_mv	AT vlmakarov meixnerpolynomialsandtheirproperties
_version_	1724878999271768064

Meixner polynomials and their properties

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