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Weighted sums of orthogonal polynomials with positive zeros

✍ Scribed by Masaaki Kijima; Erik A. van Doorn


Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
546 KB
Volume
65
Category
Article
ISSN
0377-0427

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Zeros of Certain Sums of Two Polynomials
✍ Seon-Hong Kim πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 103 KB

In this paper, we investigate the zero distribution of various sums of polynomials of the form A + B or A + tB 0 < t < ∞ or -∞ < t < ∞ , especially for A and B monic polynomials of the same degree. More precisely, we study generalizations and analogues of x -1 n + x + 1 n and their factorizations.