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Monotonicity results on the zeros of generalized Laguerre polynomials

✍ Scribed by Árpád Elbert; Andrea Laforgia

Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
241 KB
Volume
51
Category
Article
ISSN
0021-9045

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Let C \* n , n=0, 1, ..., \*>&1Â2 be the ultraspherical (Gegenbauer) polynomials, orthogonal on (&1, 1) with respect to the weight (1&x 2 ) \*&1Â2 . Denote by `n, k (\*), k=1, ..., [nÂ2] the positive zeros of C \* n enumerated in decreasing order. The problem of finding the ``extremal'' function f f