%0 Journal Article %1 krasikov06 %A Krasikov, Ilia %D 2006 %I Elsevier %J Journal of computational and applied mathematics %K orthogonal polynomial root %N 1 %P 168--182 %R 10.1016/j.cam.2005.05.029 %T On Extreme Zeros of Classical Orthogonal Polynomials %V 193 %X 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.

@article{krasikov06, abstract = {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.}, added-at = {2014-05-05T17:56:48.000+0200}, author = {Krasikov, Ilia}, biburl = {https://www.bibsonomy.org/bibtex/269b7f345fb7abcc0cf581fb7b6bebadb/ytyoun}, doi = {10.1016/j.cam.2005.05.029}, interhash = {b2bd0a05e32a51b7c5e3b28c691714a6}, intrahash = {69b7f345fb7abcc0cf581fb7b6bebadb}, journal = {Journal of computational and applied mathematics}, keywords = {orthogonal polynomial root}, number = 1, pages = {168--182}, publisher = {Elsevier}, timestamp = {2016-02-25T13:29:43.000+0100}, title = {On Extreme Zeros of Classical Orthogonal Polynomials}, volume = 193, year = 2006 }