Fw: Zeroes and critical points of orthogonal polynomials

["Vadim Zelenkov" <zelenkov@isir.minsk.by>]

Good Morning,

I forward the message below. Will it be interesting to you?

Vadim Zelenkov,
International Sakharov Institute of Radioecology,
Minsk, Belarus
WWW: http://www.isir.minsk.by/~zelenkov (personal);
 http://www.isir.minsk.by/~zelenkov/physmath/kr_polyn (Krawtchouk
Page)

-----Original Message-----
From: Alan Horwitz <alh4@psu.edu>
Newsgroups: sci.math.research,sci.math.num-analysis
Date: Tuesday, June 02, 1998 6:49 PM
Subject: Zeroes and critical points of orthogonal polynomials


>I am interested in upper and lower bounds for the zeroes r_k and
>critical points x_k of orthogonal polynomials of degree n. I do not
want
>numerical bounds, but bounds which are functions of k and n. In
>particular, I need bounds for the critical points of the Chebyshev
>polynomials of the second kind(the zeroes are known), and bounds for
the
>zeroes and critical points of the Legendre polynomials. Any
information
>would be helpful.
>--
>
>Dr.Alan Horwitz
>Penn State University
>25 Yearsley Mill Rd.
>Media, PA 19063
>(610)-892-1449
>alh4@psu.edu
>Home Page: http://www.math.psu.edu/horwitz/
>
>"A Mathematician is a machine for turning coffee into
theorems."-Erdos
>