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New q-Laguerre polynomials having factorized permutation interpretations
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Cheon, Gi-Sang | - |
dc.contributor.author | Jung, Ji-Hwan | - |
dc.contributor.author | Kim, Suh-Ryung | - |
dc.creator | 김서령 | - |
dc.date.accessioned | 2020-01-23T07:25:01Z | - |
dc.date.available | 2020-04-05T07:25:01Z | - |
dc.date.created | 2020-01-23 | - |
dc.date.created | 2020-01-23 | - |
dc.date.issued | 2019-02 | - |
dc.identifier.citation | Journal of Mathematical Analysis and Applications, Vol.470 No.1, pp.118-134 | - |
dc.identifier.issn | 0022-247X | - |
dc.identifier.uri | https://hdl.handle.net/10371/163584 | - |
dc.description.abstract | In this paper, we generalize the Laguerre polynomials in terms of q-analogue for Riordan matrices. To be more specific, for a is an element of N-0, we introduce new q-Laguerre polynomials L-n((alpha))(x; q) by defining the Eulerian generating function for L-n((alpha))(x; q) as Pi(alpha)(j=0) 1/1+q(z)(j+1)) e(q) [xz/1+z]. Interestingly, it turns out that L-n((alpha)) (x; q) have combinatorial descriptions in the aspect of the inversions of factorized permutations and q-rook numbers. We locate their zeros and develop their algebraic properties as well. (C) 2018 Elsevier Inc. All rights reserved. | - |
dc.language | 영어 | - |
dc.language.iso | ENG | en |
dc.publisher | Academic Press | - |
dc.title | New q-Laguerre polynomials having factorized permutation interpretations | - |
dc.type | Article | - |
dc.identifier.doi | 10.1016/j.jmaa.2018.09.057 | - |
dc.citation.journaltitle | Journal of Mathematical Analysis and Applications | - |
dc.identifier.wosid | 000449038200006 | - |
dc.identifier.scopusid | 2-s2.0-85054128572 | - |
dc.description.srnd | OAIID:RECH_ACHV_DSTSH_NO:T201906902 | - |
dc.description.srnd | RECH_ACHV_FG:RR00200001 | - |
dc.description.srnd | ADJUST_YN: | - |
dc.description.srnd | EMP_ID:A076130 | - |
dc.description.srnd | CITE_RATE:1.188 | - |
dc.description.srnd | DEPT_NM:수학교육과 | - |
dc.description.srnd | EMAIL:srkim@snu.ac.kr | - |
dc.description.srnd | SCOPUS_YN:Y | - |
dc.citation.endpage | 134 | - |
dc.citation.number | 1 | - |
dc.citation.startpage | 118 | - |
dc.citation.volume | 470 | - |
dc.description.isOpenAccess | N | - |
dc.contributor.affiliatedAuthor | Kim, Suh-Ryung | - |
dc.identifier.srnd | T201906902 | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.subject.keywordPlus | ORTHOGONAL POLYNOMIALS | - |
dc.subject.keywordPlus | EXPONENTIAL FORMULA | - |
dc.subject.keywordPlus | Q-ANALOG | - |
dc.subject.keywordPlus | ZEROS | - |
dc.subject.keywordAuthor | q-Riordan matrix | - |
dc.subject.keywordAuthor | q-Laguerre polynomials | - |
dc.subject.keywordAuthor | Permutations | - |
dc.subject.keywordAuthor | q-Rook numbers | - |
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