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pro vyhledávání: '"Aljubran, Hanan"'
Autor:
Aljubran, Hanan
Indiana University-Purdue University Indianapolis (IUPUI)
We consider the behavior of zeros of random polynomials of the from \begin{equation*} P_{n,m}(z) := \eta_0\varphi_m^{(m)}(z) + \eta_1 \varphi_{m+1}^{(m)}(z) + \cdots + \eta_n \varphi_{n+m
We consider the behavior of zeros of random polynomials of the from \begin{equation*} P_{n,m}(z) := \eta_0\varphi_m^{(m)}(z) + \eta_1 \varphi_{m+1}^{(m)}(z) + \cdots + \eta_n \varphi_{n+m
Externí odkaz:
https://hdl.handle.net/1805/24765
Autor:
Aljubran, Hanan, Yattselev, Maxim L.
Publikováno v:
Rocky Mountain J. Math., 51(4), 1171-1188, 2021
Let $ \{\varphi_i(z;\alpha)\}_{i=0}^\infty $, corresponding to $ \alpha\in(-1,1) $, be orthonormal Geronimus polynomials. We study asymptotic behavior of the expected number of real zeros, say $ \mathbb E_n(\alpha) $, of random polynomials \[ P_n(z)
Externí odkaz:
http://arxiv.org/abs/2012.15055
Autor:
Aljubran, Hanan, Yattselev, Maxim L.
Publikováno v:
J. Math. Anal. Appl. 469, 428-446, 2019
Let $ \{\varphi_i\}_{i=0}^\infty $ be a sequence of orthonormal polynomials on the unit circle with respect to a positive Borel measure $ \mu $ that is symmetric with respect to conjugation. We study asymptotic behavior of the expected number of real
Externí odkaz:
http://arxiv.org/abs/1809.04948
Autor:
Aljubran, Hanan, Yattselev, Maxim L.
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 January 2019 469(1):428-446
Autor:
Aljubran, Hanan
We consider the behavior of zeros of random polynomials of the from \begin{equation*} P_{n,m}(z) := \eta_0\varphi_m^{(m)}(z) + \eta_1 \varphi_{m+1}^{(m)}(z) + \cdots + \eta_n \varphi_{n+m}^{(m)}(z) \end{equation*} as \( n\to\infty \), where \( m \) i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::04eccc8d1a59b86b6bb2fc469e7cb67c
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