On real zeros of random polynomials with hyperbolic elements

K. Farahmand and M. Jahangiri

International Journal of Mathematics and Mathematical Sciences, 1998, vol. 21, 1-4

Abstract:

This paper provides the asymptotic estimate for the expected number of real zeros of a random hyperbolic polynomial g 1 cosh x + 2 g 2 cosh 2 x + … + n g n cosh n x where g j , ( j = 1 , 2 , … , n ) are independent normally distributed random variables with mean zero and variance one. It is shown that for sufficiently large n this asymptotic value is ( 1 / π ) log n .

Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:219398

DOI: 10.1155/S0161171298000477

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