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

[1] ON GENERALIZED TCHEBYCHEFF POLYNOMIALS
WALSH, JL
ZEDEK, M
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1956, 42 (02) : 99 - 104
[2] ON TCHEBYCHEFF POLYNOMIALS
ULLMAN, JL
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1954, 60 (04) : 376 - 376
[3] Tchebycheff polynomials on a disk
Kwon, KH
Lee, DW
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2004, 162 (02) : 359 - 363
[4] Generalized Bell polynomials and the combinatorics of Poisson central moments
Privault, Nicolas
ELECTRONIC JOURNAL OF COMBINATORICS, 2011, 18 (01):
[5] On generalization of Tchebycheff polynomials
Bajguz, W
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2000, 9 (02) : 91 - 98
[6] On Tchebycheff polynomials.
Chokhate, J
COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES, 1924, 178 : 2229 - 2230
[7] Certain polynomials of Tchebycheff.
Angelesco, A
COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES, 1929, 188 : 1222 - 1223
[8] INEQUALITY FOR TCHEBYCHEFF POLYNOMIALS AND EXTENSIONS
ASKEY, R
GASPER, G
HARRIS, LA
JOURNAL OF APPROXIMATION THEORY, 1975, 14 (01) : 1 - 11
[9] Tchebycheff polynomials and the transfinite diameter
Gillis, J
AMERICAN JOURNAL OF MATHEMATICS, 1941, 63 : 283 - 290
[10] GENERALIZATIONS OF A PROPERTY OF TCHEBYCHEFF POLYNOMIALS
SHERMAN, TL
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1968, 19 (02) : 473 - +

← 1 2 3 4 5 →