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Title: Variance of Real Zeros of Random Orthogonal Polynomials
We determine the asymptotics for the variance of the num-ber of zeros of random linear combinations of orthogonal polynomials ofdegreenin subintervals[a;b]of the support of the underlying orthog-onality measure. We show that, asn!1, this variance is asymptotictocn, for some explicit constantc  more » « less
Award ID(s):
1800251
NSF-PAR ID:
10215779
Author(s) / Creator(s):
;
Date Published:
Journal Name:
Journal of mathematical analysis and applications
Volume:
498
ISSN:
0022-247X
Page Range / eLocation ID:
125954
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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