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Comp."],"abstract":"<p>\n                    We present a class of functions satisfying a certain orthogonality property for which there also exists a three term recurrence formula. This class of functions, which can be considered as an extension to the class of symmetric orthogonal polynomials on\n                    <inline-formula content-type=\"math\/mathml\">\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" alttext=\"left-bracket negative 1 comma 1 right-bracket\">\n                        <mml:semantics>\n                          <mml:mrow>\n                            <mml:mo stretchy=\"false\">[<\/mml:mo>\n                            <mml:mo>\n                              \u2212\n                              \n                            <\/mml:mo>\n                            <mml:mn>1<\/mml:mn>\n                            <mml:mo>,<\/mml:mo>\n                            <mml:mn>1<\/mml:mn>\n                            <mml:mo stretchy=\"false\">]<\/mml:mo>\n                          <\/mml:mrow>\n                          <mml:annotation encoding=\"application\/x-tex\">[-1,1]<\/mml:annotation>\n                        <\/mml:semantics>\n                      <\/mml:math>\n                    <\/inline-formula>\n                    , has a complete connection to the orthogonal polynomials on the unit circle. Interpolatory properties, quadrature rules and other properties based on the zeros of these functions are also considered.\n                  <\/p>","DOI":"10.1090\/mcom3041","type":"journal-article","created":{"date-parts":[[2015,2,11]],"date-time":"2015-02-11T13:10:21Z","timestamp":1423660221000},"page":"1837-1859","source":"Crossref","is-referenced-by-count":10,"title":["A class of orthogonal functions given by a three term recurrence formula"],"prefix":"10.1090","volume":"85","author":[{"given":"C.","family":"Bracciali","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"J.","family":"McCabe","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"T.","family":"P\u00e9rez","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"A.","family":"Ranga","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"14","published-online":{"date-parts":[[2015,9,21]]},"reference":[{"issue":"1-2","key":"1","doi-asserted-by":"publisher","first-page":"3","DOI":"10.1016\/S0377-0427(98)00140-X","article-title":"Semiorthogonal functions and orthogonal polynomials on the unit circle","volume":"99","author":"Alfaro, Manuel","year":"1998","journal-title":"J. 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