Summation of Functions and Polynomial Solutions to a Multidimensional Difference Equation

We define a set of polynomial difference operators which allows us to solve the summation problem and describe the space of polynomial solutions for these operators in equations with the polynomial right-hand side. The criterion describing these polynomial difference operators was obtained. The theo...

Full description

Saved in:
Bibliographic Details
Published inJournal of Siberian Federal University. Mathematics & Physics Vol. 26; no. 2; pp. 153 - 161
Main Authors Grigoriev, Andrey A, Leinartas, Evgeniy K, Lyapin, Alexander P
Format Journal Article
LanguageEnglish
Published Krasnoyarsk Siberian Federal University 01.04.2023
Subjects
Difference equations
Finite differences
Functions (mathematics)
Mathematical analysis
Mathematical functions
Operators (mathematics)
Polynomials
Online AccessGet full text

Cover

Abstract We define a set of polynomial difference operators which allows us to solve the summation problem and describe the space of polynomial solutions for these operators in equations with the polynomial right-hand side. The criterion describing these polynomial difference operators was obtained. The theorem describing the space of polynomial solutions for the operators was proved.
AbstractList We define a set of polynomial difference operators which allows us to solve the summation problem and describe the space of polynomial solutions for these operators in equations with the polynomial right-hand side. The criterion describing these polynomial difference operators was obtained. The theorem describing the space of polynomial solutions for the operators was proved.
Author Leinartas, Evgeniy K
Grigoriev, Andrey A
Lyapin, Alexander P
Author_xml – sequence: 1
  givenname: Andrey
  surname: Grigoriev
  middlename: A
  fullname: Grigoriev, Andrey A
– sequence: 2
  givenname: Evgeniy
  surname: Leinartas
  middlename: K
  fullname: Leinartas, Evgeniy K
– sequence: 3
  givenname: Alexander
  surname: Lyapin
  middlename: P
  fullname: Lyapin, Alexander P
BookMark eNqNjL0OgjAcxBuDiai8QxNnktIK2FkhLiYmuDiRBkpSUvoX2g6-vfjxAE53ud_drVFgwMgFCilLWJwRSgMUJpznccJ4vkKRtT0hhPJsz1geonvlh0E4BQZDh0tvmre3WJgWX0E_DQxKaFyB9l_gAAt88dqpVg3S2Dmc-Ul1nZykaSQuRv_526JlJ7SV0U83aFcWt-M5fkwwemld3YOf5rGt6YGklKY5J-y_1gth80aX
ContentType Journal Article
Copyright 2023. This work is published under http://journal.sfu-kras.ru/en/series/mathematics_physics (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.
Copyright_xml – notice: 2023. This work is published under http://journal.sfu-kras.ru/en/series/mathematics_physics (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.
DBID 8FE
8FG
ABJCF
ABUWG
AFKRA
ARAPS
AZQEC
BENPR
BGLVJ
BYOGL
CCPQU
DWQXO
HCIFZ
L6V
M7S
P5Z
P62
PIMPY
PQEST
PQQKQ
PQUKI
PRINS
PTHSS
DatabaseName ProQuest SciTech Collection
ProQuest Technology Collection
Materials Science & Engineering Collection
ProQuest Central (Alumni)
ProQuest Central
Advanced Technologies & Aerospace Database‎ (1962 - current)
ProQuest Central Essentials
ProQuest Central
Technology Collection
East Europe, Central Europe Database
ProQuest One Community College
ProQuest Central
SciTech Premium Collection
ProQuest Engineering Collection
ProQuest Engineering Database
ProQuest Advanced Technologies & Aerospace Database
ProQuest Advanced Technologies & Aerospace Collection
Publicly Available Content (ProQuest)
ProQuest One Academic Eastern Edition (DO NOT USE)
ProQuest One Academic
ProQuest One Academic UKI Edition
ProQuest Central China
Engineering Collection
DatabaseTitle Publicly Available Content Database
Advanced Technologies & Aerospace Collection
Engineering Database
Technology Collection
ProQuest Advanced Technologies & Aerospace Collection
ProQuest Central Essentials
ProQuest One Academic Eastern Edition
East Europe, Central Europe Database
ProQuest Central (Alumni Edition)
SciTech Premium Collection
ProQuest One Community College
ProQuest Technology Collection
ProQuest SciTech Collection
ProQuest Central China
ProQuest Central
Advanced Technologies & Aerospace Database
ProQuest Engineering Collection
ProQuest One Academic UKI Edition
ProQuest Central Korea
Materials Science & Engineering Collection
ProQuest One Academic
Engineering Collection
DatabaseTitleList Publicly Available Content Database
Database_xml – sequence: 1
  dbid: 8FG
  name: ProQuest Technology Collection
  url: https://search.proquest.com/technologycollection1
  sourceTypes: Aggregation Database
DeliveryMethod fulltext_linktorsrc
EISSN 2313-6022
EndPage 161
GroupedDBID 3V.
5IG
8FE
8FG
ABJCF
ABUWG
ACIWK
AFKRA
ALMA_UNASSIGNED_HOLDINGS
ARAPS
AZQEC
BENPR
BGLVJ
BPHCQ
BYOGL
CCPQU
DWQXO
E4X
HCIFZ
L6V
M7S
P62
PIMPY
PQEST
PQQKQ
PQUKI
PRINS
PROAC
PTHSS
ID FETCH-proquest_journals_28052257903
IEDL.DBID BENPR
ISSN 1997-1397
IngestDate Fri Sep 13 07:06:03 EDT 2024
IsOpenAccess true
IsPeerReviewed true
IsScholarly true
Issue 2
Language English
LinkModel DirectLink
MergedId FETCHMERGED-proquest_journals_28052257903
OpenAccessLink https://www.proquest.com/docview/2805225790/abstract/?pq-origsite=%requestingapplication%
PQID 2805225790
PQPubID 2035022
ParticipantIDs proquest_journals_2805225790
PublicationCentury 2000
PublicationDate 20230401
PublicationDateYYYYMMDD 2023-04-01
PublicationDate_xml – month: 04
  year: 2023
  text: 20230401
  day: 01
PublicationDecade 2020
PublicationPlace Krasnoyarsk
PublicationPlace_xml – name: Krasnoyarsk
PublicationTitle Journal of Siberian Federal University. Mathematics & Physics
PublicationYear 2023
Publisher Siberian Federal University
Publisher_xml – name: Siberian Federal University
SSID ssj0002964337
Score 4.5368176
Snippet We define a set of polynomial difference operators which allows us to solve the summation problem and describe the space of polynomial solutions for these...
SourceID proquest
SourceType Aggregation Database
StartPage 153
SubjectTerms Difference equations
Finite differences
Functions (mathematics)
Mathematical analysis
Mathematical functions
Operators (mathematics)
Polynomials
Title Summation of Functions and Polynomial Solutions to a Multidimensional Difference Equation
URI https://www.proquest.com/docview/2805225790/abstract/
Volume 26
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwfV1LS8NAEB76uHgRRcVHLQN6DXnstklO4iMxeChFFOqpZB85SWI1Hvz37mw29SD0HDYku8PMt9_MfANwbUB8yXSivHkcmgtKWQWeMLDIU4IFMhLU_GmrfBfz4pU_rWarARR9LwyVVfY-0Tpq1UjiyP2ItPeNfaWBXwpiAWTr33xsPJofRXlWN0xjCOMo5JSwHd9li-Xzlm-h9CKzEppWgJSAzz_3a2NKfgD7DgzibXd6hzDQ9RG8ETFl9wubCnMTd6xpoLny47J5_6E-YrNoy2dh22CJtpFWkVR_J7OBD27yidSYbTo972O4yrOX-8Lrv2ftLOlr_fff7ARGdVPrU8A0VIprGTNZMS5nSSK5YqFBajyt0rKKz2Cy603nux9fwB4NVe_qUyYwaj-_9aUJva2YwjDJH6dub38BzxuN1Q
link.rule.ids 315,786,790,12792,21416,33408,33779,43635,43840,74392,74659
linkProvider ProQuest
linkToHtml http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwfV09T8MwED1BGWBBIEB8FDgJVoukdptkQggaApSKoUhlihLbmVDc0jDw7_E5bhmQOluxEud09-757h3AtQXxBdexYoMotAlKUQWstLCIqZIHsldS86er8h0PsnfxPO1PPeG28GWVS5_oHLUykjjymx5p71v7SoLb2ZzR1Ci6XfUjNDZhS3AbOqlTPH1ccSx0pcidbKYTHSWw88_lujiS7sGuB4B41_6xfdjQ9QF8EBnlzghNhamNNc4c0Kb5-GY-f6h32D604rCwMViga55VJM_fSmvgg592IjUO562G9yFcpcPJfcaW75N761nkf9_Kj6BTm1ofAyahUkLLiMuKC9mPYykUDy06E0mVFFV0At11O52uX76E7WzyOspHT-OXM9ihoeptfUoXOs3Xtz63obcpL9z5_gIaCoq8
linkToPdf http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwfV1LS8NAEB60BfFSFBUfVRf0Gpp0N6-TqE2oD0IQhXoKyT5OkrQ2Hvz3nd1s60HoOWxIZoeZb2e_-QbgFkF8SWUknCD08IBSKtepEBY5oqIuH1e6-dOwfLNg-sGeZ_7M8p-Wlla5jokmUIuG6xr5aKy199G_YnekLC0in6R384WjJ0jpm1Y7TmMX-iELfPTw_kOS5W-biou-YKRGRNNIkGro8y8Am6ySHsDAwkFy3-3fIezI-gg-dWnKWIw0iqSYeYxzEDz0k7z5-tWdxLhoU9EibUNKYlpphRbr74Q2yMTOPuGSJItO0fsYbtLk_XHqrL-nsL60LP7-nJ5Ar25qeQok9oRgkoeUK8q4H0WcCeohVmOxiksVnsFw25vOtz--hj00bvH6lL1cwL6esN6RVYbQa79_5CXm4ba6sgZeATyFkF8
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Summation+of+Functions+and+Polynomial+Solutions+to+a+Multidimensional+Difference+Equation&rft.jtitle=Journal+of+Siberian+Federal+University.+Mathematics+%26+Physics&rft.au=Grigoriev%2C+Andrey+A&rft.au=Leinartas%2C+Evgeniy+K&rft.au=Lyapin%2C+Alexander+P&rft.date=2023-04-01&rft.pub=Siberian+Federal+University&rft.issn=1997-1397&rft.eissn=2313-6022&rft.volume=26&rft.issue=2&rft.spage=153&rft.epage=161&rft.externalDBID=HAS_PDF_LINK
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1997-1397&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1997-1397&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1997-1397&client=summon