Arvesú Carballo, JorgeMarcellán Español, Francisco José2009-12-102009-12-102003-03Boletin Sociedad Española de Matemática Aplicada, 2003, n. 23, p. 35-711575-9822https://hdl.handle.net/10016/599337 pages, no figures.-- MSC2000 codes: 33C45, 42C05.This contribution deals with some models of orthogonal polynomials as well as their applications in several areas of mathematics. Some new trends in the theory of orthogonal polynomials are summarized. In particular, we emphasize on two kinds of orthogonality, i.e., the standard orthogonality in the unit circle and a non standard one, which is called multi-orthogonality. Both have attracted the interest of researchers during the past ten years.application/pdfeng© Sociedad Española de Matemática AplicadaLinear functionalsOrthogonal polynomialsStieltjes and Markov functionsRational approximationHermite-Padé approximationMultiple orthogonal polynomialsTrigonometric moment problemQuadratures on the unit circleLinear predictionElectrostatics of zerosresearch articleMatemáticasopen access