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Complex Zeros of Algebraic Polynomial with Non-Zero Mean Random Coefficients

โœ Scribed by K. Farahmand; A. Grigorash

Book ID
110410389
Publisher
Springer US
Year
1999
Tongue
English
Weight
211 KB
Volume
12
Category
Article
ISSN
0894-9840

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๐Ÿ“œ SIMILAR VOLUMES

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In this paper, we obtain an exact formula for the average density of the distribution of complex zeros of a random trigonometric polynomial , where the coefficients ฮท j = a j + ฮนb j , and a j n j=1 and b j n j=1 are sequences of independent normally distributed random variables with mean 0 and vari

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In this paper we find the expected number of zero crossings for a general algebraic polynomial, \(\sum_{j=1}^{n} a_{j}\left(\alpha x^{j}+\beta x^{-j}\right)\), and a general hyperbolic polynomial, \(\sum_{j=1}^{n} a_{j}(\alpha \cosh j x+\beta \sinh j x)\), where \(\alpha\) and \(\beta\) are constant