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Common and interlacing zeros of families of Laguerre polynomials

✍ Scribed by Driver, Kathy; Muldoon, Martin E.

Book ID
121474468
Publisher
Elsevier Science
Year
2015
Tongue
English
Weight
568 KB
Volume
193
Category
Article
ISSN
0021-9045

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πŸ“œ SIMILAR VOLUMES

Monotonicity of zeros of Laguerre polyno
Monotonicity of zeros of Laguerre polynomials
✍ Dimitar K. Dimitrov; Fernando R. Rafaeli πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 324 KB

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