caa a22 4500 386385556 CHVBK 20180307112057.0 cr unu---uuuuu 161130e198905 xx s 000 0 eng 10.1017/S0305004100077938 doi S0305004100077938 pii (NATIONALLICENCE)cambridge-10.1017/S0305004100077938 Zeros of expansions in orthogonal polynomials [Elektronische Daten] The theory of bi-orthogonal polynomials is exploited to investigate the location of zeros of truncated expansions in orthogonal polynomials. It turns out that, subject to additional conditions, these zeros can be confined to certain real intervals. Two general techniques are being used: the first depends on a theorem that links strict sign consistency of a generating function to loci of zeros and the second consists of re-expression of transformations from [3] in an orthogonal basis. Copyright © Cambridge Philosophical Society 1989 Iserles A. Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge CB3 9EW Saff E. B. Institute for Constructive Mathematics, University of South Florida, Tampa, U.S.A. Mathematical Proceedings of the Cambridge Philosophical Society Cambridge University Press 105/3(1989-05), 559-573 0305-0041 105:3<559 1989 105 PSP https://doi.org/10.1017/S0305004100077938 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S0305004100077938 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Iserles A. Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge CB3 9EW NATIONALLICENCE 700 1- Saff E. B. Institute for Constructive Mathematics, University of South Florida, Tampa, U.S.A NATIONALLICENCE 773 0- Mathematical Proceedings of the Cambridge Philosophical Society Cambridge University Press 105/3(1989-05), 559-573 0305-0041 105:3<559 1989 105 PSP CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge