schliessen

Filtern

 

Bibliotheken

Identities of Symmetry for q-Euler Polynomials

In this paper, we derive eight basic identities of symmetry in three variables related to q-Euler polynomials and the q -analogue of alternating power sums. These and most of their corollaries are new, since there have been results only about identities of symmetry in two variables. These abundance... Full description

Journal Title: Open Journal of Discrete Mathematics Apr 2011, Vol.1(1), pp.22-31
Main Author: Kim, Dae
Format: Electronic Article Electronic Article
Language: English
Subjects:
ID: ISSN: 2161-7635 ; E-ISSN: 2161-7643 ; DOI: 10.4236/ojdm.2011.11003
Link: http://search.proquest.com/docview/1464547656/
Zum Text:
SendSend as email Add to Book BagAdd to Book Bag
Staff View
recordid: proquest1464547656
title: Identities of Symmetry for q-Euler Polynomials
format: Article
creator:
  • Kim, Dae
subjects:
  • Functions (Mathematics)
  • Mathematical Models
  • Integrals
  • Polynomials
  • Symmetry
  • Sums
  • Mathematical Analysis
  • Derivation
  • Discrete Mathematics (Ci)
ispartof: Open Journal of Discrete Mathematics, Apr 2011, Vol.1(1), pp.22-31
description: In this paper, we derive eight basic identities of symmetry in three variables related to q-Euler polynomials and the q -analogue of alternating power sums. These and most of their corollaries are new, since there have been results only about identities of symmetry in two variables. These abundance of symmetries shed new light even on the existing identities so as to yield some further interesting ones. The derivations of identities are based on the p-adic integral expression of the generating function for the q -Euler polynomials and the quotient of integrals that can be expressed as the exponential generating function for the q -analogue of alternating power sums.
language: eng
source:
identifier: ISSN: 2161-7635 ; E-ISSN: 2161-7643 ; DOI: 10.4236/ojdm.2011.11003
fulltext: fulltext
issn:
  • 21617635
  • 2161-7635
  • 21617643
  • 2161-7643
url: Link


@attributes
ID1091808184
RANK0.07
NO1
SEARCH_ENGINEprimo_central_multiple_fe
SEARCH_ENGINE_TYPEPrimo Central Search Engine
LOCALfalse
PrimoNMBib
record
control
sourcerecordid1464547656
sourceidproquest
recordidTN_proquest1464547656
sourcesystemPC
pqid1464547656
display
typearticle
titleIdentities of Symmetry for q-Euler Polynomials
creatorKim, Dae
contributorKim, Dae (correspondence author)
ispartofOpen Journal of Discrete Mathematics, Apr 2011, Vol.1(1), pp.22-31
identifier
subjectFunctions (Mathematics) ; Mathematical Models ; Integrals ; Polynomials ; Symmetry ; Sums ; Mathematical Analysis ; Derivation ; Discrete Mathematics (Ci)
descriptionIn this paper, we derive eight basic identities of symmetry in three variables related to q-Euler polynomials and the q -analogue of alternating power sums. These and most of their corollaries are new, since there have been results only about identities of symmetry in two variables. These abundance of symmetries shed new light even on the existing identities so as to yield some further interesting ones. The derivations of identities are based on the p-adic integral expression of the generating function for the q -Euler polynomials and the quotient of integrals that can be expressed as the exponential generating function for the q -analogue of alternating power sums.
languageeng
source
version2
lds50peer_reviewed
links
openurl$$Topenurl_article
openurlfulltext$$Topenurlfull_article
backlink$$Uhttp://search.proquest.com/docview/1464547656/$$EView_record_in_ProQuest_(subscribers_only)
search
creatorcontribKim, Dae
titleIdentities of Symmetry for q-Euler Polynomials
descriptionIn this paper, we derive eight basic identities of symmetry in three variables related to q-Euler polynomials and the q -analogue of alternating power sums. These and most of their corollaries are new, since there have been results only about identities of symmetry in two variables. These abundance of symmetries shed new light even on the existing identities so as to yield some further interesting ones. The derivations of identities are based on the p-adic integral expression of the generating function for the q -Euler polynomials and the quotient of integrals that can be expressed as the exponential generating function for the q -analogue of alternating power sums.
subject
0Functions (Mathematics)
1Mathematical Models
2Integrals
3Polynomials
4Symmetry
5Sums
6Mathematical Analysis
7Derivation
8Discrete Mathematics (Ci)
953
general
0English
110.4236/ojdm.2011.11003
2Advanced Technologies Database with Aerospace
3Technology Research Database
4ProQuest Advanced Technologies & Aerospace Collection
5ProQuest Technology Collection
6ProQuest Computer Science Collection
7ProQuest SciTech Collection
8Computer and Information Systems Abstracts
9Advanced Technologies & Aerospace Database
10SciTech Premium Collection
11Technology Collection
sourceidproquest
recordidproquest1464547656
issn
021617635
12161-7635
221617643
32161-7643
rsrctypearticle
creationdate2011
addtitleOpen Journal of Discrete Mathematics
searchscope
01007454
11007944
210000012
310000015
410000022
510000045
610000053
710000070
810000120
910000154
1010000195
1110000199
1210000203
1310000209
1410000233
1510000260
1610000265
17proquest
scope
01007454
11007944
210000012
310000015
410000022
510000045
610000053
710000070
810000120
910000154
1010000195
1110000199
1210000203
1310000209
1410000233
1510000260
1610000265
17proquest
lsr43
01007454false
11007944false
210000012false
310000015false
410000022false
510000045false
610000053false
710000070false
810000120false
910000154false
1010000195false
1110000199false
1210000203false
1310000209false
1410000233false
1510000260false
1610000265false
contributorKim, Dae
startdate20110401
enddate20110401
citationpf 22 pt 31 vol 1 issue 1
lsr30VSR-Enriched:[pqid]
sort
titleIdentities of Symmetry for q-Euler Polynomials
authorKim, Dae
creationdate20110401
lso0120110401
facets
frbrgroupid5351360104415839253
frbrtype5
languageeng
creationdate2011
topic
0Functions (Mathematics)
1Mathematical Models
2Integrals
3Polynomials
4Symmetry
5Sums
6Mathematical Analysis
7Derivation
8Discrete Mathematics (Ci)
collection
0Advanced Technologies Database with Aerospace
1Technology Research Database
2ProQuest Advanced Technologies & Aerospace Collection
3ProQuest Technology Collection
4ProQuest Computer Science Collection
5ProQuest SciTech Collection
6Computer and Information Systems Abstracts
7Advanced Technologies & Aerospace Database
8SciTech Premium Collection
9Technology Collection
prefilterarticles
rsrctypearticles
creatorcontribKim, Dae
jtitleOpen Journal of Discrete Mathematics
toplevelpeer_reviewed
delivery
delcategoryRemote Search Resource
fulltextfulltext
addata
aulastKim
aufirstDae
auKim, Dae
addauKim, Dae
atitleIdentities of Symmetry for q-Euler Polynomials
jtitleOpen Journal of Discrete Mathematics
risdate20110401
volume1
issue1
spage22
epage31
pages22-31
issn2161-7635
eissn2161-7643
formatjournal
genrearticle
ristypeJOUR
abstractIn this paper, we derive eight basic identities of symmetry in three variables related to q-Euler polynomials and the q -analogue of alternating power sums. These and most of their corollaries are new, since there have been results only about identities of symmetry in two variables. These abundance of symmetries shed new light even on the existing identities so as to yield some further interesting ones. The derivations of identities are based on the p-adic integral expression of the generating function for the q -Euler polynomials and the quotient of integrals that can be expressed as the exponential generating function for the q -analogue of alternating power sums.
doi10.4236/ojdm.2011.11003
urlhttp://search.proquest.com/docview/1464547656/
date2011-04-01