{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,22]],"date-time":"2026-04-22T03:27:20Z","timestamp":1776828440553,"version":"3.51.2"},"reference-count":34,"publisher":"American Mathematical Society (AMS)","issue":"252","license":[{"start":{"date-parts":[[2006,6,7]],"date-time":"2006-06-07T00:00:00Z","timestamp":1149638400000},"content-version":"am","delay-in-days":365,"URL":"https:\/\/www.ams.org\/publications\/copyright-and-permissions"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Math. Comp."],"abstract":"<p>\n                    Starting from a strong Stieltjes distribution\n                    <inline-formula content-type=\"math\/mathml\">\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" alttext=\"phi\">\n                        <mml:semantics>\n                          <mml:mi>\n                            \u03d5\n                            \n                          <\/mml:mi>\n                          <mml:annotation encoding=\"application\/x-tex\">\\phi<\/mml:annotation>\n                        <\/mml:semantics>\n                      <\/mml:math>\n                    <\/inline-formula>\n                    , general sequences of orthogonal Laurent polynomials are introduced and some of their most relevant algebraic properties are studied. From this perspective, the connection between certain quadrature formulas associated with the distribution\n                    <inline-formula content-type=\"math\/mathml\">\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" alttext=\"phi\">\n                        <mml:semantics>\n                          <mml:mi>\n                            \u03d5\n                            \n                          <\/mml:mi>\n                          <mml:annotation encoding=\"application\/x-tex\">\\phi<\/mml:annotation>\n                        <\/mml:semantics>\n                      <\/mml:math>\n                    <\/inline-formula>\n                    and two-point Pad\u00e9 approximants to the Stieltjes transform of\n                    <inline-formula content-type=\"math\/mathml\">\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" alttext=\"phi\">\n                        <mml:semantics>\n                          <mml:mi>\n                            \u03d5\n                            \n                          <\/mml:mi>\n                          <mml:annotation encoding=\"application\/x-tex\">\\phi<\/mml:annotation>\n                        <\/mml:semantics>\n                      <\/mml:math>\n                    <\/inline-formula>\n                    is revisited. Finally, illustrative numerical examples are discussed.\n                  <\/p>","DOI":"10.1090\/s0025-5718-05-01763-1","type":"journal-article","created":{"date-parts":[[2005,8,10]],"date-time":"2005-08-10T10:23:21Z","timestamp":1123669401000},"page":"1843-1870","source":"Crossref","is-referenced-by-count":18,"title":["Strong Stieltjes distributions and orthogonal Laurent polynomials with applications to quadratures and Pad\u00e9 approximation"],"prefix":"10.1090","volume":"74","author":[{"given":"C.","family":"D\u00edaz-Mendoza","sequence":"first","affiliation":[]},{"given":"P.","family":"Gonz\u00e1lez-Vera","sequence":"additional","affiliation":[]},{"given":"M.","family":"Jim\u00e9nez-Paiz","sequence":"additional","affiliation":[]}],"member":"14","published-online":{"date-parts":[[2005,6,7]]},"reference":[{"key":"1","doi-asserted-by":"crossref","unstructured":"D.H. Bailey, Y. Hida, X. S. Li, B. Thompson. ARPREC: An Arbitrary Precision Computation Package. 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