{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,20]],"date-time":"2026-04-20T21:48:25Z","timestamp":1776721705613,"version":"3.51.2"},"reference-count":7,"publisher":"American Mathematical Society (AMS)","issue":"213","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Math. Comp."],"abstract":"<p>\n                    It is shown that the zeros of the Faber polynomials generated by a regular\n                    <inline-formula content-type=\"math\/mathml\">\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" alttext=\"m\">\n                        <mml:semantics>\n                          <mml:mi>m<\/mml:mi>\n                          <mml:annotation encoding=\"application\/x-tex\">m<\/mml:annotation>\n                        <\/mml:semantics>\n                      <\/mml:math>\n                    <\/inline-formula>\n                    -star are located on the\n                    <inline-formula content-type=\"math\/mathml\">\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" alttext=\"m\">\n                        <mml:semantics>\n                          <mml:mi>m<\/mml:mi>\n                          <mml:annotation encoding=\"application\/x-tex\">m<\/mml:annotation>\n                        <\/mml:semantics>\n                      <\/mml:math>\n                    <\/inline-formula>\n                    -star. This proves a recent conjecture of J. Bartolomeo and M. He. The proof uses the connection between zeros of Faber polynomials and Chebyshev quadrature formulas.\n                  <\/p>","DOI":"10.1090\/s0025-5718-96-00684-9","type":"journal-article","created":{"date-parts":[[2002,7,26]],"date-time":"2002-07-26T18:14:44Z","timestamp":1027707284000},"page":"151-156","source":"Crossref","is-referenced-by-count":5,"title":["The zeros of Faber polynomials generated by an \ud835\udc5a-star"],"prefix":"10.1090","volume":"65","author":[{"given":"Arno","family":"Kuijlaars","sequence":"first","affiliation":[]}],"member":"14","published-online":{"date-parts":[[1996]]},"reference":[{"issue":"205","key":"1","doi-asserted-by":"publisher","first-page":"277","DOI":"10.2307\/2153408","article-title":"On Faber polynomials generated by an \ud835\udc5a-star","volume":"62","author":"Bartolomeo, J.","year":"1994","journal-title":"Math. 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Soc.","ISSN":"https:\/\/id.crossref.org\/issn\/0004-9727","issn-type":"print"},{"key":"6","first-page":"260","article-title":"An extremum problem for polynomials","volume":"14","author":"Schoenberg, I. J.","year":"1960","journal-title":"Compositio Math.","ISSN":"https:\/\/id.crossref.org\/issn\/0010-437X","issn-type":"print"},{"key":"7","doi-asserted-by":"crossref","first-page":"417","DOI":"10.1307\/mmj\/1028999599","article-title":"A class of weight functions that admit Tchebycheff quadrature","volume":"13","author":"Ullman, J. L.","year":"1966","journal-title":"Michigan Math. 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