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On Zeros Of Laguerre Polynomials

On Zeros Of Laguerre Polynomials

Paperback

General Mathematics

ISBN10: 3668293066
ISBN13: 9783668293069
Publisher: Grin Verlag
Published: Sep 7 2016
Pages: 24
Weight: 0.10
Height: 0.06 Width: 5.83 Depth: 8.27
Language: English
Scientific Essay from the year 2011 in the subject Mathematics - Algebra, language: English, abstract: In this work, we make an attempt to gather different results by many mathematicians who have made landmark achievements in studies on zeros of Laguerre polynomials. We discuss bounds for extreme zeros of some classical orthogonal polynomials, bounds for zeros of the Laguerre polynomials where we quote the works of Ilia Krasikov, among others. The quoted works are: Limit relation for the complex zeros of Laguerre polynomials, On the Asymptotic Distribution of the Zeros of Laguerre Polynomials, Monotonicity of zeros of Laguerre polynomials, Zeros of linear combinations of Laguerre polynomials from different sequences, Linear combinations of Laguerre polynomials of the same degree, Linear combinations of Laguerre polynomials of different degree and Convexity of the extreme zeros of Laguerre polynomials.

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General Mathematics