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Novel properties of the zeros of Laguerre polynomials

✍ Scribed by S. Ahmed

Book ID
112902180
Publisher
Società Italiana di Fisica
Year
1978
Weight
156 KB
Volume
22
Category
Article
ISSN
0375-930X

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Monotonicity of zeros of Laguerre polyno
Monotonicity of zeros of Laguerre polynomials
✍ Dimitar K. Dimitrov; Fernando R. Rafaeli 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 324 KB

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).