{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T13:48:30Z","timestamp":1787320110920,"version":"build-2736575974"},"reference-count":9,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"5","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Math. Anal."],"published-print":{"date-parts":[[2000,1]]},"abstract":"<jats:p>\n                    Let {p\n                    <jats:sub>n<\/jats:sub>\n                    (x)}_{n\\ge 0}$ be the set of orthonormal polynomials with respect to the exponential weight w(x)=e\n                    <jats:sup>-v(x)<\/jats:sup>\n                    , where v(x)=x\n                    <jats:sup>2m<\/jats:sup>\n                    + ... is a monic polynomial of degree 2m with $m \\ge 2$ and is even. An asymptotic approximation is obtained for p\n                    <jats:sub>n<\/jats:sub>\n                    (x), as $n \\to \\infty$, which holds uniformly for $0 \\le x \\le O(n^{1\/2m})$. As a corollary, a three-term asymptotic expansion is also derived for the zeros of these polynomials.\n                  <\/jats:p>","DOI":"10.1137\/s0036141098344671","type":"journal-article","created":{"date-parts":[[2003,6,11]],"date-time":"2003-06-11T11:12:06Z","timestamp":1055329926000},"page":"992-1029","source":"Crossref","is-referenced-by-count":11,"title":["Uniform Asymptotic Formula for Orthogonal Polynomials with Exponential Weight"],"prefix":"10.1137","volume":"31","author":[{"given":"W. Y.","family":"Qiu","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"R.","family":"Wong","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2006,8,1]]},"reference":[{"key":"R1","doi-asserted-by":"publisher","DOI":"10.2140\/pjm.1988.133.209"},{"key":"R2","doi-asserted-by":"publisher","DOI":"10.1006\/jath.1998.3282"},{"key":"R3","doi-asserted-by":"publisher","DOI":"10.1088\/0305-4470\/30\/22\/020"},{"key":"R4","doi-asserted-by":"publisher","DOI":"10.1137\/0517053"},{"key":"R5","doi-asserted-by":"publisher","DOI":"10.2307\/1999658"},{"key":"R6","doi-asserted-by":"publisher","DOI":"10.1137\/0515092"},{"key":"R7","unstructured":"F. W. J. Olver,\n                      Asymptotics and Special Functions\n                      , Academic Press, New York, 1974."},{"key":"R8","doi-asserted-by":"publisher","DOI":"10.1016\/0021-9045(87)90021-9"},{"key":"R9","doi-asserted-by":"publisher","DOI":"10.1142\/4039"}],"container-title":["SIAM Journal on Mathematical Analysis"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/S0036141098344671","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T12:54:03Z","timestamp":1787316843000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/S0036141098344671"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2000,1]]},"references-count":9,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2000,1]]}},"alternative-id":["10.1137\/S0036141098344671"],"URL":"https:\/\/doi.org\/10.1137\/s0036141098344671","relation":{},"ISSN":["0036-1410","1095-7154"],"issn-type":[{"value":"0036-1410","type":"print"},{"value":"1095-7154","type":"electronic"}],"subject":[],"published":{"date-parts":[[2000,1]]}}}