D. S. Moak, E. B. Sa#, and R. S. Varga, On the zeros of Jacobi polynomials P (#n ,# n ) n (x), Trans. Amer. Math. Soc. 249 (1979), 159--163. Home/Search Document Not in Database Summary Related Articles Check |
This paper is cited in the following contexts:
Chebyshev Polynomials With Integer Coefficients - Pritsker (Correct)
....uniform norms of both (3.5) and (3.7) on [0; 1=4] cannot be attained at the endpoints. Furthermore, if u 0 and v 0 then these uniform norms live on an interval [a; b] ae (0; 1=4) This type of problem for the Jacobi weights (see Example IV.1.17 in [16, p. 206] has first been considered in [13], 11] and [17] where the sharp values for a and b were found. We follow the modern and general approach to the problem via the weighted potential theory, described in [16] For [a; b] ae R, let Omega : Cn[a; b] and let g Omega (z; p) be the Green function of Omega with pole at p 2 Omega ....
D. S. Moak, E. B. Saff and R. S. Varga, On the zeros of Jacobi polynomials P (ff n ;fi n ) n (x), Trans. Amer. Math. Soc. 249 (1979), 159162.
Polynomial Method in Coding and Information Theory - Ashikhmin, Barg, Litsyn (Correct)
.... asymptotic bounds on the distance distribution of codes and other invariants we need asymptotic formulas for orthogonal polynomials involved in inequalities (7) 9) These problems have been studied more or less independently in coding theory [34] 24] 29] 25] 32] 1] 4] and analysis [35], 12] 21] 16] 15] 28] We quote results from the coding theory side since they are in the form better suited to our needs. Asymptotics of extremal zeros found in [34] 24] were used in these papers to derive the bounds ffi (lp) R) and d (kl) R) respectively. However, to derive ....
....2y) Gamma fi(1 Gamma fi) 2 Gamma 4(ff Gamma y) 1 Gamma ff Gamma y)y 2 2(ff Gamma y) 1 Gamma ff Gamma y) i dy o(1) 11) where n 1; v = ffn; k = fin; x 2 [0; x 1 (Q v k ) Jacobi polynomials. The asymptotic expression for the largest zero of P ak;bk k has the form [24] [35] x a;b 1 : x 1 (P ak;bk k ) 4 p (a b 1) a 1) b 1) Gamma a 2 Gamma b 2 (a b 2) 2 : The smallest zero then is Gammax b;a 1 : The asymptotic behavior of the exponent of P ak;bk k ; k 1; in the entire orthogonality segment was found in [4] We quote one of the results ....
D. S. Moak, E. B. Saff, and R. S. Varga, On the zeros of Jacobi polynomials P (ff n ;fi n ) n (x), Trans. Amer. Math. Soc. 249 (1979), no. 1, 159--162.
Generalized Jacobi Weights, Christoffel Functions, And .. - Erdélyi.. (Correct)
No context found.
D. S. Moak, E. B. Sa#, and R. S. Varga, On the zeros of Jacobi polynomials P (#n ,# n ) n (x), Trans. Amer. Math. Soc. 249 (1979), 159--163.
Online articles have much greater impact More about CiteSeer.IST Add search form to your site Submit documents Feedback
CiteSeer.IST - Copyright Penn State and NEC