The asymptotic zero distribution of orthogonal polynomials with varying recurrence coefficients
Journal of Approximation Theory
Asymptotics and bounds for the zeros of Laguerre polynomials: a survey
Journal of Computational and Applied Mathematics - Selected papers of the international symposium on applied mathematics, August 2000, Dalian, China
Asymptotic distribution of zeros of polynomials satisfying difference equations
Journal of Computational and Applied Mathematics
Bounds for zeros of the Laguerre polynomials
Journal of Approximation Theory
On the maximum value of Jacobi polynomials
Journal of Approximation Theory
Inequalities for orthonormal Laguerre polynomials
Journal of Approximation Theory
On zeros of discrete orthogonal polynomials
Journal of Approximation Theory
On the maximum value of Jacobi polynomials
Journal of Approximation Theory
On the effect of correlation on the performance of dual diversity receivers in lognormal fading
IEEE Communications Letters
Hi-index | 7.29 |
Let x1 and xk be the least and the largest zeros of the Laguerre or Jacobi polynomial of degree k. We shall establish sharp inequalities of the form x1 A, xk B, which are uniform in all the parameters involved. Together with inequalities in the opposite direction, recently obtained by the author, this locates the extreme zeros of classical orthogonal polynomials with a high precision.