Strong Result for Level Crossings of Random Polynomials
Journal Title: IOSR Journal of Pharmacy and Biological Sciences (IOSR-JPBS) - Year 2016, Vol 11, Issue 3
Abstract
Let Nn be the number of real roots of the algebraic equation n k 0 ν f n (x) ξ k x 0 where ν k ξ x are independent random variables assuming real values only. Then there exists an integer n0 such that for each n>n0 the number of real roots of most of the equations f(x)=0 is at least en log n except for a set of measure at most . logn μ n0 0 1991 Mathematics subject classification (Amer. Math. Soc.): 60 B 99.
Authors and Affiliations
Dr. P. K. Mishra
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