{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,18]],"date-time":"2025-11-18T15:39:05Z","timestamp":1763480345179,"version":"3.41.2"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>Combinatorial representation in terms of Schr\u00f6der paths and other weighted plane paths are given of Laurent biorthogonal polynomials (LBPs) and a linear functional with which LBPs have orthogonality and biorthogonality.  Particularly, it is clarified that quantities to which LBPs are mapped by the corresponding linear functional can be evaluated by enumerating certain kinds of Schr\u00f6der paths, which imply orthogonality and biorthogonality of LBPs.<\/jats:p>","DOI":"10.37236\/955","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T04:50:58Z","timestamp":1578718258000},"source":"Crossref","is-referenced-by-count":5,"title":["A Combinatorial Representation with Schr\u00f6der Paths of Biorthogonality of Laurent Biorthogonal Polynomials"],"prefix":"10.37236","volume":"14","author":[{"given":"Shuhei","family":"Kamioka","sequence":"first","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2007,5,11]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v14i1r37\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v14i1r37\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,18]],"date-time":"2020-01-18T04:03:44Z","timestamp":1579320224000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v14i1r37"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007,5,11]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2007,1,3]]}},"URL":"https:\/\/doi.org\/10.37236\/955","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2007,5,11]]},"article-number":"R37"}}