A WEIGHT FUNCTION FOR THE ASSOCIATED JACOBI-LAURENT POLYNOMIALS

被引：6

作者：

HENDRIKSEN, E ^{[1
]}

机构：

[1] UNIV AMSTERDAM,DEPT MATH,1018 TV AMSTERDAM,NETHERLANDS

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1990年 / 33卷 / 02期

关键词：

WEIGHT FUNCTION; ORTHOGONAL LAURENT POLYNOMIALS; ASSOCIATED JACOBI-LAURENT POLYNOMIALS;

D O I：

10.1016/0377-0427(90)90367-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Under some additional conditions on the parameters, a weight function on the unit circle in the complex plane is given for the associated Jacobi-Laurent polynomials as introduced in Hendriksen (1990).

引用

页码：171 / 180

页数：10

共 50 条

[21] Weight function approach to q-difference equations for the q-hypergeometric polynomials
Hegazi, AS
Mansour, M
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2004, 43 (01) : 237 - 250
[22] Weight Function Approach to q-Difference Equations for the q-Hypergeometric Polynomials
A. S. Hegazi
M. Mansour
International Journal of Theoretical Physics, 2004, 43 : 237 - 250
[23] Asymptotics of recurrence relation coefficients, Hankel determinant ratios, and root products associated with Laurent polynomials orthogonal with respect to varying exponential weights
McLaughlin, K. T. -R.
Vartanian, A. H.
Zhou, X.
ACTA APPLICANDAE MATHEMATICAE, 2008, 100 (01) : 39 - 104
[24] Orthogonal Laurent polynomials corresponding to certain strong Stieltjes distributions with applications to numerical quadratures
Díaz-Mendoza, C
González-Vera, P
Paiz, MJ
Rodríguez, FC
MATHEMATICS OF COMPUTATION, 2006, 75 (253) : 281 - 305
[25] Sequences of orthogonal Laurent polynomials, bi-orthogonality and quadrature formulas on the unit circle
Cruz-Barroso, Ruyman
Daruis, Leyla
Gonzalez-Vera, Pablo
Njastad, Olav
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 206 (02) : 950 - 966
[26] Sequences of orthogonal Laurent polynomials, bi-orthogonality and quadrature formulas on the unit circle
Cruz-Barroso, Ruyman
Daruis, Leyla
Gonzalez-Vera, Pablo
Njastad, Olav
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 200 (01) : 424 - 440
[27] Proving identities on weight polynomials of tiered trees via Tutte polynomials
Dong, Fengming
Yan, Sherry H. F.
JOURNAL OF COMBINATORIAL THEORY SERIES A, 2023, 193
[28] A special class of polynomials orthogonal on the unit circle including the associated polynomials
Peherstorfer, F
CONSTRUCTIVE APPROXIMATION, 1996, 12 (02) : 161 - 185
[29] On the interference of the weight and boundary contour for orthogonal polynomials over the region
Abdullayev, FG
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2004, 6 (01) : 31 - 41
[30] The properties of the orthogonal polynomials with weight having singularity on the boundary contour
Abdullayev, FG
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2004, 6 (01) : 43 - 59

← 1 2 3 4 5 →