Abstract:
In this paper we consider a polynomial of the form which is a random polynomial with hyperbolic functions and whose coefficients yk’s are normally distributed dependent random variables with mean zero, variance one, and joint density function 1/4 where M is the moment matrix with 1 ; 0< ?<1; i, j= 1,2,……., n, is a column vector. Then an upper bound of expected number of zeros of the above polynomial is A n log n, where A is a constant. ??n1 k k cosh) w(y kt M ? ? ?? ? ?? ? ?? ? ?? ? ? ? Y M'21 exp 2 2 / y n ? ? ? ? ij j i ? ???????? wy ,.....wy , wy Y n 1 0 ?
1991 Mathematics subject classification (Amer. Math. Soc.): 60 B 99.
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