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).
β¦ LIBER β¦
Monotonicity of zeros of Jacobi polynomials
β Scribed by Dimitar K. Dimitrov; Fernando R. Rafaeli
- Book ID
- 111713133
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 205 KB
- Volume
- 149
- Category
- Article
- ISSN
- 0021-9045
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