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Zeros of certain sums of two polynomials

Authors
Kim, SH
Issue Date
Aug-2001
Publisher
ACADEMIC PRESS INC
Keywords
Zero; polynomial, q-analogue; Chebyshev polynomial; recurrence
Citation
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v.260, no.1, pp 239 - 250
Pages
12
Journal Title
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume
260
Number
1
Start Page
239
End Page
250
URI
https://scholarworks.sookmyung.ac.kr/handle/2020.sw.sookmyung/149562
DOI
10.1006/jmaa.2000.7461
ISSN
0022-247X
1096-0813
Abstract
In this paper, we investigate the zero distribution of various sums of polynomials of the form A + B or A + tB (0 < t < infinity or -infinity < t < infinity), 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. (C) 2001 Academic Press.
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