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Numerical treatment of random polynomials

✍ Scribed by G.S. Ladde; M. Sambandham

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
678 KB
Volume
55
Category
Article
ISSN
0096-3003

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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