Asymptotics for Orthogonal Rational Functions
نویسندگان
چکیده
منابع مشابه
Ratio asymptotics for orthogonal rational functions on an interval
Let {α1, α2, . . . } be a sequence of real numbers outside the interval [−1, 1] and μ a positive bounded Borel measure on this interval satisfying the Erdős-Turán condition μ′ > 0 a.e., where μ′ is the RadonNikodym derivative of the measure μ with respect to the Lebesgue measure. We introduce rational functions φn(x) with poles {α1, . . . , αn} orthogonal on [−1, 1] and establish some ratio asy...
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متن کاملRatio Asymptotics for Orthogonal Rational Functions on the Interval [−1, 1]
Let {α1, α2, . . . } be a sequence of real numbers outside the interval [−1, 1] and μ a positive bounded Borel measure on this interval. We introduce rational functions φn(x) with poles {α1, . . . , αn} orthogonal on [−1, 1] and establish some ratio asymptotics for these orthogonal rational functions, i.e. we discuss the convergence of φn+1(x)/φn(x) as n tends to infinity under certain assumpti...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1994
ISSN: 0002-9947
DOI: 10.2307/2154954