Add to ORKGThis paper provides an asymptotic estimate for the expected number of real zeros of a random algebraic polynomial a0+a1x+a2x2+···+an−1xn−1. The coefficients aj (j = 0,1,2,...,n−1) are assumed to be independent normal random variables with nonidentical means. Previous results aremainly for identically distributed coefficients. Our result remains valid when the means of the coefficients are divided into many groups of equal sizes. We show that the behaviour of the random polynomial is dictated by the mean of the first group of the coefficients in the interval (−1,1) and the mean of the last group in (−∞,−1)∪(1,∞). 2000 Mathematics Subject Classification: 60H99, 42Bxx. 1. Introduction. Ther
ABSTRACT. This paper provides the asymptotic estimate for the expected number of real ze-ros of a ra...
An estimate is given for the lower bound of real zeros of random algebraic polynomials whose coeffic...
A random algebraic polynomial of degree $n $ is of the form $F_{n}(X, \omega)=k=0\sum a_{k(\omega}n)...
This paper provides an asymptotic estimate for the expected number of real zeros of a random algebra...
This paper provides an asymptotic estimate for the expected number of real zeros of a random algebra...
AbstractThis paper provides the mathematical expectation for the number of real zeros of an algebrai...
There are many known asymptotic estimates for the expected number of real zeros of an algebraic poly...
AbstractThis paper provides the mathematical expectation for the number of real zeros of an algebrai...
AbstractWe study the expected number of real zeros of an algebraic polynomial of degree n, whose coe...
AbstractWe study the expected number of real zeros of an algebraic polynomial of degree n, whose coe...
AbstractSuppose that the n + 1 coefficients of a polynomial of degree n are independent normally dis...
If g1,g2,...,gn are independent, normally distributed random variables with mean zero and variance o...
Let T;(x),T(x),...,T(x) be a sequence of normalized Legendre polyno-mials orthogonal with respect to...
We show that the expected number of real zeros of the nth degree polynomial with real independent id...
AbstractThe asymptotic estimate of the expected number of real zeros of the random hyperbolic polyno...
ABSTRACT. This paper provides the asymptotic estimate for the expected number of real ze-ros of a ra...
An estimate is given for the lower bound of real zeros of random algebraic polynomials whose coeffic...
A random algebraic polynomial of degree $n $ is of the form $F_{n}(X, \omega)=k=0\sum a_{k(\omega}n)...
This paper provides an asymptotic estimate for the expected number of real zeros of a random algebra...
This paper provides an asymptotic estimate for the expected number of real zeros of a random algebra...
AbstractThis paper provides the mathematical expectation for the number of real zeros of an algebrai...
There are many known asymptotic estimates for the expected number of real zeros of an algebraic poly...
AbstractThis paper provides the mathematical expectation for the number of real zeros of an algebrai...
AbstractWe study the expected number of real zeros of an algebraic polynomial of degree n, whose coe...
AbstractWe study the expected number of real zeros of an algebraic polynomial of degree n, whose coe...
AbstractSuppose that the n + 1 coefficients of a polynomial of degree n are independent normally dis...
If g1,g2,...,gn are independent, normally distributed random variables with mean zero and variance o...
Let T;(x),T(x),...,T(x) be a sequence of normalized Legendre polyno-mials orthogonal with respect to...
We show that the expected number of real zeros of the nth degree polynomial with real independent id...
AbstractThe asymptotic estimate of the expected number of real zeros of the random hyperbolic polyno...
ABSTRACT. This paper provides the asymptotic estimate for the expected number of real ze-ros of a ra...
An estimate is given for the lower bound of real zeros of random algebraic polynomials whose coeffic...
A random algebraic polynomial of degree $n $ is of the form $F_{n}(X, \omega)=k=0\sum a_{k(\omega}n)...