๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Bounds for zeros of the Laguerre polynomials

โœ Scribed by Ilia Krasikov

Book ID
108332832
Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
119 KB
Volume
121
Category
Article
ISSN
0021-9045

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

Bounds for the zeros of polynomials
Bounds for the zeros of polynomials
โœ W. M. Shah; A. Liman ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› Springer ๐ŸŒ English โš– 362 KB
Monotonicity of zeros of Laguerre polyno
Monotonicity of zeros of Laguerre polynomials
โœ Dimitar K. Dimitrov; Fernando R. Rafaeli ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 324 KB

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