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On the zeros of combinations of Laguerre polynomials

✍ Scribed by S. Ahmed; M. Bruschi

Book ID
112896376
Publisher
Società Italiana di Fisica
Year
1978
Weight
183 KB
Volume
22
Category
Article
ISSN
0375-930X

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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).