{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,3]],"date-time":"2022-04-03T06:31:43Z","timestamp":1648967503254},"reference-count":18,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2005,1,1]],"date-time":"2005-01-01T00:00:00Z","timestamp":1104537600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Adv Comput Math"],"published-print":{"date-parts":[[2005]]},"DOI":"10.1007\/s10444-003-2600-8","type":"journal-article","created":{"date-parts":[[2005,2,2]],"date-time":"2005-02-02T12:38:23Z","timestamp":1107347903000},"page":"249-273","source":"Crossref","is-referenced-by-count":1,"title":["Explicit construction of general multivariate Pad\ufffd approximants to an Appell function"],"prefix":"10.1007","volume":"22","author":[{"given":"P. B.","family":"Borwein","sequence":"first","affiliation":[]},{"given":"A.","family":"Cuyt","sequence":"additional","affiliation":[]},{"given":"P.","family":"Zhou","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"CR1","doi-asserted-by":"crossref","first-page":"69","DOI":"10.1007\/BF01208907","volume":"8","author":"H. Allouche","year":"1992","unstructured":"H. Allouche and A. Cuyt, On the structure of a table of multivariate rational interpolants, Constr. Approx. 8 (1992) 69?86.","journal-title":"Constr. Approx."},{"key":"CR2","doi-asserted-by":"crossref","first-page":"391","DOI":"10.1007\/BF02075469","volume":"4","author":"P.B. Borwein","year":"1988","unstructured":"P.B. Borwein, Pad\u00e9 approximants for the q-elementary functions, Constr. Approx. 4 (1988) 391?402.","journal-title":"Constr. Approx."},{"key":"CR3","doi-asserted-by":"crossref","first-page":"71","DOI":"10.1007\/BF01939363","volume":"26","author":"A. Cuyt","year":"1986","unstructured":"A. Cuyt, Multivariate Pad\u00e9 approximants revisited, BIT 26 (1986) 71?79.","journal-title":"BIT"},{"key":"CR4","doi-asserted-by":"crossref","first-page":"25","DOI":"10.1016\/S0377-0427(99)00028-X","volume":"105","author":"A. Cuyt","year":"1999","unstructured":"A. Cuyt, How well can the concept of Pad\u00e9 approximant be generalized to the multivariate case? J. Comput. Appl. Math. 105 (1999) 25?50.","journal-title":"J. Comput. Appl. Math."},{"key":"CR5","doi-asserted-by":"crossref","first-page":"311","DOI":"10.1007\/s002110050195","volume":"73","author":"A. Cuyt","year":"1006","unstructured":"A. Cuyt, K. Driver and D. Lubinsky, Kronecker type theorems, normality and continuity of the multivariate Pad\u00e9 operator, Numer. Math. 73 (1006) 311?327.","journal-title":"Numer. Math."},{"key":"CR6","doi-asserted-by":"crossref","first-page":"29","DOI":"10.1023\/A:1018918429917","volume":"10","author":"A. Cuyt","year":"1999","unstructured":"A. Cuyt, K. Driver, J. Tan and B. Verdonk, Exploring multivariate Pad\u00e9 approximants for multiple hypergeometric series, Adv. Comput. Math. 10 (1999) 29?49.","journal-title":"Adv. Comput. Math."},{"key":"CR7","doi-asserted-by":"crossref","first-page":"293","DOI":"10.1007\/BF01390129","volume":"43","author":"A. Cuyt","year":"1985","unstructured":"A. Cuyt and B. Verdonk, General order Newton?Pad\u00e9 approximants for multivariate functions, Numer. Math. 43 (1985) 293?307.","journal-title":"Numer. Math."},{"issue":"3","key":"CR8","first-page":"148","volume":"XXV","author":"M.G. Bruin de","year":"1977","unstructured":"M.G. de Bruin, Some classes of Pad\u00e9 tables whose upper halves are normal, Nieuw Archief Voor Wiskunde XXV(3) (1977) 148?160.","journal-title":"Nieuw Archief Voor Wiskunde"},{"key":"CR9","volume-title":"Basic Hypergeometric Series, Encyclopedia of Mathematics and its Applications, Vol. 35","author":"G. Gasper","year":"1990","unstructured":"G. Gasper and M. Rahman, Basic Hypergeometric Series, Encyclopedia of Mathematics and its Applications, Vol. 35 (Cambridge Univ. Press, Cambridge, 1990)."},{"key":"CR10","doi-asserted-by":"crossref","first-page":"33","DOI":"10.1007\/BF01403889","volume":"54","author":"D.S. Lubinsky","year":"1988","unstructured":"D.S. Lubinsky, Power series equivalent to rational functions: a shifting-origin Kronecker type theorem, and normality of Pad\u00e9 tables, Numer. Math. 54 (1988) 33?39.","journal-title":"Numer. Math."},{"key":"CR11","doi-asserted-by":"crossref","first-page":"341","DOI":"10.24033\/asens.582","volume":"24","author":"H. Pad\u00e9","year":"1907","unstructured":"H. Pad\u00e9, Recherches sur la convergence des d\u00e9veloppements en fractions continues d?une certaine cat\u00e9gorie de fonctions, Ann. Sci. l?Ecole Normale Sup\u00e9rieure 24 (1907) 341?400.","journal-title":"Ann. Sci. l?Ecole Normale Sup\u00e9rieure"},{"key":"CR12","volume-title":"Generalized Hypergeometric Functions","author":"L.J. Slater","year":"1966","unstructured":"L.J. Slater, Generalized Hypergeometric Functions (Cambridge Univ. Press, Cambridge, 1966)."},{"key":"CR13","doi-asserted-by":"crossref","first-page":"526","DOI":"10.1016\/S1385-7258(55)50072-2","volume":"58","author":"H. Rossum van","year":"1955","unstructured":"H. van Rossum, Systems of orthogonal and quasi orthogonal polynomials connected with the Pad\u00e9 table II, Nederl. Akad. Wetensch. Proc. 58 (1955) 526?534.","journal-title":"Nederl. Akad. Wetensch. Proc."},{"key":"CR14","doi-asserted-by":"crossref","first-page":"1273","DOI":"10.1137\/0720099","volume":"20","author":"H. Werner","year":"1983","unstructured":"H. Werner and L. Wuytack, On the continuity of the Pad\u00e9 operator, SIAM J. Numer. Anal. 20 (1983) 1273?1280.","journal-title":"SIAM J. Numer. Anal."},{"key":"CR15","doi-asserted-by":"crossref","first-page":"81","DOI":"10.1093\/qmath\/18.1.81","volume":"18","author":"P. Wynn","year":"1967","unstructured":"P. Wynn, A general system of orthogonal polynomials, Quart. J. Math. Oxford 18 (1967) 81?96.","journal-title":"Quart. J. Math. Oxford"},{"key":"CR16","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/S0377-0427(96)00095-7","volume":"79","author":"P. Zhou","year":"1997","unstructured":"P. Zhou, Explicit construction of multivariate Pad\u00e9 approximants, J. Comput. Appl. Math. 79 (1997) 1?17.","journal-title":"J. Comput. Appl. Math."},{"key":"CR17","doi-asserted-by":"crossref","first-page":"201","DOI":"10.1006\/jath.1997.3158","volume":"93","author":"P. Zhou","year":"1998","unstructured":"P. Zhou, Multivariate Pad\u00e9 approximants associated with functional relations, J. Approx. Theory 93 (1998) 201?230.","journal-title":"J. Approx. Theory"},{"key":"CR18","doi-asserted-by":"crossref","first-page":"18","DOI":"10.1006\/jath.1999.3409","volume":"103","author":"P. Zhou","year":"2000","unstructured":"P. Zhou, Explicit construction of multivariate Pad\u00e9 approximants for a q-logarithm function, J. Approx. Theory 103 (2000) 18?28.","journal-title":"J. Approx. Theory"}],"container-title":["Advances in Computational Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10444-003-2600-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10444-003-2600-8\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10444-003-2600-8","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,29]],"date-time":"2019-05-29T17:08:06Z","timestamp":1559149686000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10444-003-2600-8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2005]]},"references-count":18,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2005]]}},"alternative-id":["5252600"],"URL":"https:\/\/doi.org\/10.1007\/s10444-003-2600-8","relation":{},"ISSN":["1019-7168","1572-9044"],"issn-type":[{"value":"1019-7168","type":"print"},{"value":"1572-9044","type":"electronic"}],"subject":[],"published":{"date-parts":[[2005]]}}}