{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,31]],"date-time":"2025-10-31T16:47:43Z","timestamp":1761929263580,"version":"build-2065373602"},"reference-count":27,"publisher":"Elsevier BV","issue":"2","license":[{"start":{"date-parts":[[2003,4,1]],"date-time":"2003-04-01T00:00:00Z","timestamp":1049155200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2003,4,1]],"date-time":"2003-04-01T00:00:00Z","timestamp":1049155200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"},{"start":{"date-parts":[[2013,8,22]],"date-time":"2013-08-22T00:00:00Z","timestamp":1377129600000},"content-version":"vor","delay-in-days":3796,"URL":"http:\/\/www.elsevier.com\/open-access\/userlicense\/1.0\/"}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Journal of Approximation Theory"],"published-print":{"date-parts":[[2003,4]]},"DOI":"10.1016\/s0021-9045(03)00027-3","type":"journal-article","created":{"date-parts":[[2003,4,30]],"date-time":"2003-04-30T18:31:21Z","timestamp":1051727481000},"page":"292-335","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":4,"title":["Asymptotics of zeros of basic sine and cosine functions"],"prefix":"10.1016","volume":"121","author":[{"given":"Sergei K.","family":"Suslov","sequence":"first","affiliation":[]}],"member":"78","reference":[{"year":"1999","series-title":"Special Functions","author":"Andrews","key":"10.1016\/S0021-9045(03)00027-3_BIB1"},{"key":"10.1016\/S0021-9045(03)00027-3_BIB2","doi-asserted-by":"crossref","unstructured":"C.A. Berenstein, R. Gay, Complex Variables: An Introduction, Springer, New York, 1991, pp. 168\u2013170, 482\u2013495.","DOI":"10.1007\/978-1-4612-3024-3"},{"key":"10.1016\/S0021-9045(03)00027-3_BIB3","doi-asserted-by":"crossref","first-page":"134","DOI":"10.1006\/jath.2001.3599","article-title":"Basic analog of Fourier series on a q-linear grid","volume":"112","author":"Bustoz","year":"2001","journal-title":"J. Approx. Theory"},{"key":"10.1016\/S0021-9045(03)00027-3_BIB4","doi-asserted-by":"crossref","first-page":"1","DOI":"10.4310\/MAA.1998.v5.n1.a1","article-title":"Basic analog of Fourier series on a q-quadratic grid","volume":"5","author":"Bustoz","year":"1998","journal-title":"Methods Appl. Anal."},{"year":"1990","series-title":"Basic Hypergeometric Series","author":"Gasper","key":"10.1016\/S0021-9045(03)00027-3_BIB5"},{"key":"10.1016\/S0021-9045(03)00027-3_BIB6","doi-asserted-by":"crossref","unstructured":"R.Wm. Gosper Jr., Experiments and discoveries in q-trigonometry, in: F.G. Garvan, M.E.H. Ismail, (Eds.), Symbolic Computation, Number Theory, Special Functions, Physics and Combinatorics\u2019, Kluwer Series: Developments in Mathematics, Vol. 4, Kluwer Academic Publishers, Dordrecht, Boston, London, 2001, pp. 79\u2013105.","DOI":"10.1007\/978-1-4613-0257-5_6"},{"key":"10.1016\/S0021-9045(03)00027-3_BIB7","doi-asserted-by":"crossref","unstructured":"R.Wm. Gosper Jr., S.K. Suslov, Numerical investigation of basic Fourier series, in: M.E.H. Ismail, D.R. Stanton (Eds.), q-Series from a Contemporary Perspective, Contemporary Mathematics, Vol. 254, American Mathematical Society, Providence, RI, 2000, pp. 199\u2013227.","DOI":"10.1090\/conm\/254\/03954"},{"key":"10.1016\/S0021-9045(03)00027-3_BIB8","unstructured":"E. Hille, Lectures on Ordinary Differential Equations, Addison\u2013Wesley, Reading, MA, 1969, pp. 479\u2013491."},{"key":"10.1016\/S0021-9045(03)00027-3_BIB9","doi-asserted-by":"crossref","first-page":"454","DOI":"10.1137\/0512038","article-title":"The basic Bessel functions and polynomials","volume":"12","author":"Ismail","year":"1981","journal-title":"SIAM J. Math. Anal."},{"key":"10.1016\/S0021-9045(03)00027-3_BIB10","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/0022-247X(82)90248-7","article-title":"The zeros of basic Bessel functions, the functions J\u03bd+ax(x), and associated orthogonal polynomials","volume":"86","author":"Ismail","year":"1982","journal-title":"J. Math. Anal. Appl."},{"key":"10.1016\/S0021-9045(03)00027-3_BIB11","doi-asserted-by":"crossref","first-page":"269","DOI":"10.1006\/jath.2001.3644","article-title":"Inverse operators, q-fractional integrals, and q-Bernoulli polynomials","volume":"114","author":"Ismail","year":"2002","journal-title":"J. Approx. Theory"},{"issue":"10","key":"10.1016\/S0021-9045(03)00027-3_BIB12","doi-asserted-by":"crossref","first-page":"2931","DOI":"10.1090\/S0002-9939-99-05017-0","article-title":"Quadratic q-exponentials and connection coefficient problems","volume":"127","author":"Ismail","year":"1999","journal-title":"Proc. Amer. Math. Soc."},{"key":"10.1016\/S0021-9045(03)00027-3_BIB13","doi-asserted-by":"crossref","first-page":"163","DOI":"10.1016\/0377-0427(95)00263-4","article-title":"Diagonalization of certain integral operators II","volume":"68","author":"Ismail","year":"1996","journal-title":"J. Comp. Appl. Math."},{"key":"10.1016\/S0021-9045(03)00027-3_BIB14","doi-asserted-by":"crossref","unstructured":"M.E.H. Ismail, D. Stanton, Addition theorems for the q-exponential functions, in: M.E.H. Ismail, D.R. Stanton, (Eds.), q-Series from a Contemporary Perspective, Contemporary Mathematics, Vol. 254, American Mathematical Society, Providence, RI, 2000, pp. 235\u2013245.","DOI":"10.1090\/conm\/254\/03957"},{"key":"10.1016\/S0021-9045(03)00027-3_BIB15","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1006\/aima.1994.1077","article-title":"Diagonalization of certain integral operators","volume":"108","author":"Ismail","year":"1994","journal-title":"Advances in Math."},{"key":"10.1016\/S0021-9045(03)00027-3_BIB16","unstructured":"B. Ya. Levin, Distribution of Zeros of Entire Functions, Translations of Mathematical Monographs, Vol. 5, American Mathematical Society, Providence, RI, 1980, p. 14."},{"key":"10.1016\/S0021-9045(03)00027-3_BIB17","unstructured":"A.I. Markushevich, Theory of Functions of a Complex Variable, Vol. II, 2nd Edition, Chelsea Publishing Company, New York, 1985, pp. 86\u201389, 26\u201334."},{"year":"1985","series-title":"Classical Orthogonal Polynomials of a Discrete Variable","author":"Nikiforov","key":"10.1016\/S0021-9045(03)00027-3_BIB18"},{"key":"10.1016\/S0021-9045(03)00027-3_BIB19","unstructured":"M. Rahman, private communication."},{"key":"10.1016\/S0021-9045(03)00027-3_BIB20","doi-asserted-by":"crossref","first-page":"11","DOI":"10.4310\/MAA.1997.v4.n1.a2","article-title":"Addition theorems for some q-exponential and q-trigonometric functions","volume":"4","author":"Suslov","year":"1997","journal-title":"Methods Appl. Anal."},{"key":"10.1016\/S0021-9045(03)00027-3_BIB21","doi-asserted-by":"crossref","first-page":"L375","DOI":"10.1088\/0305-4470\/33\/41\/103","article-title":"Another addition theorem for the q-exponential function","volume":"33","author":"Suslov","year":"2000","journal-title":"J. Phys. A"},{"key":"10.1016\/S0021-9045(03)00027-3_BIB22","doi-asserted-by":"crossref","unstructured":"S.K. Suslov, Basic exponential functions on a q-quadratic grid, in: J. Bustoz, M.E.H. Ismail, S.K. Suslov (Eds.), Special Functions 2000: Current Perspective and Future Directions, NATO Science Series II: Mathematics, Physics and Chemistry, Vol. 30, Kluwer Academic Publishers, Dordrecht, Boston, London, 2001, pp. 411\u2013456.","DOI":"10.1007\/978-94-010-0818-1_16"},{"key":"10.1016\/S0021-9045(03)00027-3_BIB23","doi-asserted-by":"crossref","unstructured":"S.K. Suslov, Completeness of basic trigonometric system in Lp, in: B.C. Berndt, K. Ono (Eds.), q-Series with Applications to Combinatorics, Number Theory, and Physics, Contemporary Mathematics, Vol. 291, American Mathematical Society, Providence, RI, 2001, pp. 229\u2013241.","DOI":"10.1090\/conm\/291\/04905"},{"issue":"2","key":"10.1016\/S0021-9045(03)00027-3_BIB24","doi-asserted-by":"crossref","first-page":"289","DOI":"10.1006\/jath.2001.3659","article-title":"Some expansions in basic Fourier series and related topics","volume":"115","author":"Suslov","year":"2002","journal-title":"J. Approx. Theory"},{"key":"10.1016\/S0021-9045(03)00027-3_BIB25","doi-asserted-by":"crossref","unstructured":"S.K. Suslov, A note on completeness of basic trigonometric system in L2, Rocky Mountain J. Math. 33 (1) Spring 2003.","DOI":"10.1216\/rmjm\/1181075479"},{"key":"10.1016\/S0021-9045(03)00027-3_BIB26","doi-asserted-by":"crossref","unstructured":"S.K. Suslov, An Introduction to Basic Fourier Series, Kluwer Series Developments in Mathematics, Vol. 9, Kluwer Academic Publishers, Dordrecht, Boston, London, 2003.","DOI":"10.1007\/978-1-4757-3731-8_1"},{"year":"1986","series-title":"The Theory of the Riemann Zeta-function","author":"Titchmarsh","key":"10.1016\/S0021-9045(03)00027-3_BIB27"}],"container-title":["Journal of Approximation Theory"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0021904503000273?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0021904503000273?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2025,9,18]],"date-time":"2025-09-18T00:14:19Z","timestamp":1758154459000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0021904503000273"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2003,4]]},"references-count":27,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2003,4]]}},"alternative-id":["S0021904503000273"],"URL":"https:\/\/doi.org\/10.1016\/s0021-9045(03)00027-3","relation":{},"ISSN":["0021-9045"],"issn-type":[{"type":"print","value":"0021-9045"}],"subject":[],"published":{"date-parts":[[2003,4]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Asymptotics of zeros of basic sine and cosine functions","name":"articletitle","label":"Article Title"},{"value":"Journal of Approximation Theory","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/S0021-9045(03)00027-3","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"converted-article","name":"content_type","label":"Content Type"},{"value":"Copyright \u00a9 2003 Elsevier Science (USA). All rights reserved.","name":"copyright","label":"Copyright"}]}}