Marcellán Español, Francisco JoséArvesú Carballo, Jorge2010-02-192010-02-192001Proceedings of XVII CEDYA: Congress on Differential Equations and Applications/VII CMA: Congress on Applied Mathematics (Salamanca, 2001), p. 127-15584-699-6144-6https://hdl.handle.net/10016/693529 pages, 1 figure.-- MSC2000 codes: 42C05, 33C45.-- Contributed to: XVII CEDYA: Congress on differential equations and applications/VII CMA: Congress on applied mathematics (Salamanca, Spain, Sep 24-28, 2001).MR#: MR1873645 (2002i:42031)Zbl#: Zbl 1026.42025In this contribution we summarize some new directions in the theory of orthogonal polynomials. In particular, we emphasize three kinds of orthogonality conditions which have attracted the interest of researchers from the last decade to the present time. The connection with operator theory, potential theory and numerical analysis will be shown.text/htmlengOrthogonal polynomialsSobolev orthogonalitySimultaneous orthogonalityconference paperMatemáticasopen access