Orthogonal polynomials associated with an inverse quadratic spectral transform
نویسندگان
چکیده
منابع مشابه
Orthogonal polynomials associated with an inverse quadratic spectral transform
Let {Pn}n≥0 be a sequence of monic orthogonal polynomials with respect to a quasi–definite linear functional u and {Qn}n≥0 a sequence of polynomials defined by Qn(x) = Pn(x) + sn Pn−1(x) + tn Pn−2(x), n ≥ 1, with tn 6= 0 for n ≥ 2. We obtain a new characterization of the orthogonality of the sequence {Qn}n≥0 with respect to a linear functional v, in terms of the coefficients of a quadratic poly...
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ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 2011
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2010.12.037