Chain Sequences, Orthogonal Polynomials,
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Ryszard Szwarc
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Article
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1998
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Elsevier Science
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English
β 337 KB
Chain sequences are positive sequences [a n ] of the form a n = g n (1& g n&1 ) for a nonnegative sequence [g n ]. This concept was introduced by Wall in connection with continued fractions. In his monograph on orthogonal polynomials, Chihara conjectured that if a n 1 4 for each n then (a n & 1 4 )