{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,20]],"date-time":"2026-04-20T22:36:29Z","timestamp":1776724589269,"version":"3.51.2"},"reference-count":11,"publisher":"American Mathematical Society (AMS)","issue":"221","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Math. Comp."],"abstract":"

\n A gaussian type quadrature formula, where the nodes are the zeros of Bessel functions of the first kind of order\n \n \n \n \n \u03b1\n \n <\/mml:mi>\n \\alpha<\/mml:annotation>\n <\/mml:semantics>\n <\/mml:math>\n <\/inline-formula>\n (\n \n \n \n \n \n \u211c\n \n <\/mml:mi>\n (<\/mml:mo>\n \n \u03b1\n \n <\/mml:mi>\n )<\/mml:mo>\n ><\/mml:mo>\n \n \u2212\n \n <\/mml:mo>\n 1<\/mml:mn>\n <\/mml:mrow>\n \\Re (\\alpha ) > -1<\/mml:annotation>\n <\/mml:semantics>\n <\/mml:math>\n <\/inline-formula>\n ), was recently proved for entire functions of exponential type. Here we relax the restriction on\n \n \n \n \n \u03b1\n \n <\/mml:mi>\n \\alpha<\/mml:annotation>\n <\/mml:semantics>\n <\/mml:math>\n <\/inline-formula>\n as well as on the function. Some applications are also given.\n <\/p>","DOI":"10.1090\/s0025-5718-98-00882-5","type":"journal-article","created":{"date-parts":[[2002,7,26]],"date-time":"2002-07-26T18:14:44Z","timestamp":1027707284000},"page":"323-336","source":"Crossref","is-referenced-by-count":5,"title":["Quadrature formulae using zeros of Bessel functions as nodes"],"prefix":"10.1090","volume":"67","author":[{"given":"Riadh","family":"Ben Ghanem","sequence":"first","affiliation":[]}],"member":"14","published-online":{"date-parts":[[1998]]},"reference":[{"issue":"217","key":"1","doi-asserted-by":"publisher","first-page":"289","DOI":"10.1090\/S0025-5718-97-00794-1","article-title":"Spherical Bessel functions and explicit quadrature formula","volume":"66","author":"Ben Ghanem, Riadh","year":"1997","journal-title":"Math. Comp.","ISSN":"https:\/\/id.crossref.org\/issn\/0025-5718","issn-type":"print"},{"key":"2","first-page":"285","article-title":"Sur les inverses des \u00e9l\u00e9ments d\u00e9rivables dans un anneau abstrait","volume":"209","author":"Hebroni, P.","year":"1939","journal-title":"C. R. Acad. Sci. Paris","ISSN":"https:\/\/id.crossref.org\/issn\/0001-4036","issn-type":"print"},{"key":"3","doi-asserted-by":"publisher","first-page":"611","DOI":"10.2307\/1968946","article-title":"On Frobeniusean algebras. I","volume":"40","author":"Nakayama, Tadasi","year":"1939","journal-title":"Ann. of Math. (2)","ISSN":"https:\/\/id.crossref.org\/issn\/0003-486X","issn-type":"print"},{"key":"4","doi-asserted-by":"publisher","first-page":"121","DOI":"10.2748\/tmj\/1178241524","article-title":"Summation formulas and band-limited signals","volume":"24","author":"Boas, R. P., Jr.","year":"1972","journal-title":"Tohoku Math. J. (2)","ISSN":"https:\/\/id.crossref.org\/issn\/0040-8735","issn-type":"print"},{"issue":"201","key":"5","doi-asserted-by":"publisher","first-page":"303","DOI":"10.2307\/2153168","article-title":"A quadrature formula involving zeros of Bessel functions","volume":"60","author":"Frappier, Cl\u00e9ment","year":"1993","journal-title":"Math. Comp.","ISSN":"https:\/\/id.crossref.org\/issn\/0025-5718","issn-type":"print"},{"issue":"1","key":"6","first-page":"17","article-title":"Une formule de quadrature pour les fonctions enti\u00e8res de type exponentiel","volume":"10","author":"Frappier, C.","year":"1986","journal-title":"Ann. Sci. Math. Qu\\'{e}bec","ISSN":"https:\/\/id.crossref.org\/issn\/0707-9109","issn-type":"print"},{"issue":"2","key":"7","doi-asserted-by":"publisher","first-page":"89","DOI":"10.1016\/0021-9045(87)90001-3","article-title":"Representation and approximation of functions via (0,2)-interpolation","volume":"50","author":"Gervais, R.","year":"1987","journal-title":"J. Approx. Theory","ISSN":"https:\/\/id.crossref.org\/issn\/0021-9045","issn-type":"print"},{"issue":"210","key":"8","doi-asserted-by":"publisher","first-page":"715","DOI":"10.2307\/2153447","article-title":"A quadrature formula with zeros of Bessel functions as nodes","volume":"64","author":"Grozev, Georgi R.","year":"1995","journal-title":"Math. Comp.","ISSN":"https:\/\/id.crossref.org\/issn\/0025-5718","issn-type":"print"},{"issue":"189","key":"9","doi-asserted-by":"publisher","first-page":"245","DOI":"10.2307\/2008693","article-title":"Quadrature formulae and functions of exponential type","volume":"54","author":"Rahman, Qazi I.","year":"1990","journal-title":"Math. Comp.","ISSN":"https:\/\/id.crossref.org\/issn\/0025-5718","issn-type":"print"},{"key":"10","series-title":"McGraw-Hill Series in Higher Mathematics","volume-title":"Real and complex analysis","author":"Rudin, Walter","year":"1974","edition":"2"},{"key":"11","unstructured":"G. N. Watson, A treatise on the theory of Bessel functions, 2nd ed., Cambridge Univ. Press, Cambridge, 1966."}],"container-title":["Mathematics of Computation"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/www.ams.org\/mcom\/1998-67-221\/S0025-5718-98-00882-5\/S0025-5718-98-00882-5.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"},{"URL":"https:\/\/www.ams.org\/mcom\/1998-67-221\/S0025-5718-98-00882-5\/S0025-5718-98-00882-5.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,20]],"date-time":"2026-04-20T21:40:58Z","timestamp":1776721258000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.ams.org\/mcom\/1998-67-221\/S0025-5718-98-00882-5\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1998]]},"references-count":11,"journal-issue":{"issue":"221","published-print":{"date-parts":[[1998,1]]}},"alternative-id":["S0025-5718-98-00882-5"],"URL":"https:\/\/doi.org\/10.1090\/s0025-5718-98-00882-5","archive":["CLOCKSS","Portico"],"relation":{},"ISSN":["1088-6842","0025-5718"],"issn-type":[{"value":"1088-6842","type":"electronic"},{"value":"0025-5718","type":"print"}],"subject":[],"published":{"date-parts":[[1998]]}}}