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Monotonicity of zeros of Laguerre polynomials

✍ Scribed by Dimitar K. Dimitrov; Fernando R. Rafaeli

Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 324 KB
Volume: 233
Category: Article
ISSN: 0377-0427
DOI: 10.1016/j.cam.2009.02.038

No coin nor oath required. For personal study only.

✦ Synopsis

Denote by x nk (α), k = 1, . . . , n, the zeros of the Laguerre polynomial L (α) n (x). We establish monotonicity with respect to the parameter α of certain functions involving x nk (α). As a consequence we obtain sharp upper bounds for the largest zero of L (α) n (x).

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