The zeros of linear combinations of translates of polynomials
نویسندگان
چکیده
منابع مشابه
Zeros of linear combinations of Laguerre polynomials from different sequences
We study interlacing properties of the zeros of two types of linear combinations of Laguerre polynomials with different parameters, namely Rn = L α n + aL α n and Sn = L α n + bL α n−1. Proofs and numerical counterexamples are given in situations where the zeros of Rn, and Sn, respectively, interlace (or do not in general) with the zeros of L α k , L ′ k , k = n or n− 1. The results we prove ho...
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ژورنال
عنوان ژورنال: Journal of the Australian Mathematical Society
سال: 2002
ISSN: 1446-7887,1446-8107
DOI: 10.1017/s1446788700003621