@article{oai:ynu.repo.nii.ac.jp:00006840,
 author = {Boyadjiev, Lyubomiri.},
 issue = {2},
 journal = {Yokohama Mathematical Journal = 横濱市立大學紀要. D部門, 数学},
 month = {},
 note = {application/pdf, The investigations devoted to the theory of orthogonal polynomials discuss generally the case when the corresponding weight function is positive on the whole interval of orthogonality. First Ahieser [1] and Brzecka [2] introduced systems of orthogonal polynomials with weight functions which vanish on subsets of the interval of orthogonality with positive measure. The interest towards such systems is challenged by the possibility to get generalzations of the classical orthogonal polynomials of Jacobi, Laguerre and Hermite by means of appropriate choice of the weight function [3]. This paper considers a general class of polynomials orthogonal on two final symmetric intervals. We introduce also the corresponding functions of second kind to these polynomials, as suitable solutions of a linear second-order recurrence equation. The asymptotic properties of the polynomials and their functions of second kind allow us to give a description of the region and mode of convergence of the series on them. The representation problem and some boundary properties of such series are also discussed.},
 pages = {163--175},
 title = {ABOUT POLYNOMIALS ORTHOGONAL ON TWO SYMMETRIC INTERVALS},
 volume = {39},
 year = {1992}
}