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  • Article
    Citation - WoS: 4
    Citation - Scopus: 3
    The Euler-Lagrange Theory for Schur's Algorithm: Wall Pairs
    (Academic Press inc Elsevier Science, 2006) Khrushchev, S
    This paper develops a techniques of Wall pairs for the study of periodic exposed quadratic irrationalities in the unit ball of the Hardy algebra. (C) 2005 Elsevier Inc. All rights reserved.
  • Conference Object
    Citation - WoS: 4
    Citation - Scopus: 2
    Continued Fractions and Orthogonal Polynomials on the Unit Circle
    (Elsevier Science Bv, 2005) Khrushchev, S
    This survey is written to stress the role of continued fractions in the theory of orthogonal polynomials on the line and on the circle. We follow the historical development of the subject, which opens many interesting relationships of orthogonal polynomials to other important branches of mathematics. At the end we present a new formula for orthogonal polynomials on the real line, the Leganes formula, [GRAPHICS] which is a correct analogue of the corresponding formula on the unit circle. This formula is applied to obtain a recent result by Simon. (c) 2004 Elsevier B.V. All rights reserved.