Combinatorics of generalized Tchebycheff polynomials

被引：4

作者：

Kim, D ^{[1
]}

Zeng, J

机构：

[1] Korea Adv Inst Sci & Technol, Dept Math, Taejon 305701, South Korea

[2] Univ Lyon 1, Inst Girard Desargues, F-69622 Villeurbanne, France

来源：

EUROPEAN JOURNAL OF COMBINATORICS | 2003年 / 24卷 / 05期

关键词：

D O I：

10.1016/S0195-6698(03)00046-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By considering a family of orthogonal polynomials generalizing the Tchebycheff polynomials of the second kind we refine the corresponding results of De Sainte-Catherine and Viennot on Tchebycheff polynomials of the second kind (Lecture Notes in Mathematics, vol. 1171, 1985, Springer-Verlag, 120). (C) 2003 Elsevier Science Ltd. All rights reserved.

引用

页码：499 / 509

页数：11

共 50 条

[41] UPPER BOUNDS FOR DIRICHLET KERNELS AND FOR TCHEBYCHEFF POLYNOMIALS OF SECOND KIND
LEPSON, B
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 19 (05): : A644 - &
[42] NEW SERIES TRANSFORM WITH APPLICATIONS TO BESSEL LEGENDRE + TCHEBYCHEFF POLYNOMIALS
GOULD, HW
DUKE MATHEMATICAL JOURNAL, 1964, 31 (02) : 325 - +
[43] UPPER BOUNDS FOR DIRICHLET KERNELS AND FOR TCHEBYCHEFF POLYNOMIALS OF SECOND KIND
LEPSON, B
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1974, 48 (01) : 139 - 149
[44] A conic programming approach to generalized Tchebycheff inequalities
Zuluaga, LE
Peña, JF
MATHEMATICS OF OPERATIONS RESEARCH, 2005, 30 (02) : 369 - 388
[45] Combinatorics of a generalized Narayana identity
Agapito, Jose
Mestre, Angela
Petrullo, Pasquale
Torres, Maria M.
LINEAR ALGEBRA AND ITS APPLICATIONS, 2016, 503 : 56 - 82
[46] Combinatorics of Generalized Motzkin Numbers
Wang, Yi
Zhang, Zhi-Hai
JOURNAL OF INTEGER SEQUENCES, 2015, 18 (02)
[47] ASYMPTOTIC EXPANSION OF INTEGRALS PSI AND CHI IN TERMS OF TCHEBYCHEFF POLYNOMIALS
THOMPSON, GT
MATHEMATICS OF COMPUTATION, 1965, 19 (92) : 661 - &
[48] Combinatorics of Generalized Bethe Equations
Kozlowski, Karol K.
Sklyanin, Evgeny K.
LETTERS IN MATHEMATICAL PHYSICS, 2013, 103 (10) : 1047 - 1077
[49] Combinatorics of Generalized Bethe Equations
Karol K. Kozlowski
Evgeny K. Sklyanin
Letters in Mathematical Physics, 2013, 103 : 1047 - 1077
[50] On generalized Tchebycheff inequalities in mathematical statistics.
Smith, CD
AMERICAN JOURNAL OF MATHEMATICS, 1930, 52 : 109 - 126

← 1 2 3 4 5 →