منابع مشابه
A generalization of Chebyshev polynomials and non rooted posets
Bjorner was the first to determine the Mobius functions of factor orders and subword orders. To determine the Mobius functions, he used involutions, shellability, and generating functions. [2][3][4] Bjorner and Stanley found an interesting relation among the subword order derived from a two point set {a, b} , symmetric groups and composition orders. [6] Factor orders, subword orders, and genera...
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در این رساله t_n - علیت قوی تعریف می شود. این رده ها در جدول علیت فضا- زمان بین علیت پایدار و علیت قوی قرار دارند. یک قضیه برای رده بندی آنها ثابت می شود و t_n- علیت قوی با رده های علی کارتر مقایسه می شود. همچنین ثابت می شود که علیت فشرده پایدار از t_n - علیت قوی نتیجه می شود. بعلاوه به بررسی رابطه نظریه دامنه ها با نسبیت عام می پردازیم و ثابت می کنیم که نوع خاصی از فضا- زمان های علی پایدار, ب...
Symmetrized Chebyshev Polynomials
We define a class of multivariate Laurent polynomials closely related to Chebyshev polynomials and prove the simple but somewhat surprising (in view of the fact that the signs of the coefficients of the Chebyshev polynomials themselves alternate) result that their coefficients are non-negative. As a corollary we find that Tn(c cos θ) and Un(c cos θ) are positive definite functions. We further s...
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We study several classes of polynomials, which are related to the Chebyshev, Morgan-Voyce, Horadam and Jacobsthal polynomials. Thus, we unify some of well-known results.
متن کاملOn Chebyshev Polynomials of Matrices
The mth Chebyshev polynomial of a square matrix A is the monic polynomial that minimizes the matrix 2-norm of p(A) over all monic polynomials p(z) of degree m. This polynomial is uniquely defined if m is less than the degree of the minimal polynomial of A. We study general properties of Chebyshev polynomials of matrices, which in some cases turn out to be generalizations of well known propertie...
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ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 1979
ISSN: 0021-9045
DOI: 10.1016/0021-9045(79)90066-2