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- Title
Orthogonal Polynomials for Modified Chebyshev Measure of the First Kind.
- Authors
Cvetković, Aleksandar S.; Matejić, Marjan M.; Milovanović, Gradimir V.
- Abstract
Given numbers n, s ∈ N, n ≥ 2, and the nth-degree monic Chebyshev polynomial of the first kind Tn(x), the polynomial system "induced" by Tn(x) is the system of orthogonal polynomials {pkn,s} corresponding to the modified measure dσn,s(x) = Tn2s(x)dσ(x), where dσ(x) = 1/√1 - x2 dx is the Chebyshev measure of the first kind. Here we are concerned with the problem of determining the coefficients in the three-term recurrence relation for the polynomials pkn,s. The desired coefficients are obtained analytically in a closed form.
- Publication
Results in Mathematics / Resultate der Mathematik, 2016, Vol 69, Issue 3/4, p443
- ISSN
1422-6383
- Publication type
Article
- DOI
10.1007/s00025-016-0529-8