Real Zeros of a Class of Hyperbolic Polynomials with Random Coefficients

Real Zeros of a Class of Hyperbolic Polynomials with Random Coefficients

We have proved here that the expected number of real zeros of a random hyperbolic polynomial of the form y=Pnt=n1a1cosh⁡t+n2a2cosh⁡2t+⋯+nnancosh⁡nt, where a1,…,an is a sequence of standard Gaussian random variables, is n/2+op(1). It is shown that the asymptotic value of expected number of times the...

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Bibliographic Details
Main Authors: Mina Ketan Mahanti, Amandeep Singh, Lokanath Sahoo
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2015/261370
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