Generalized Jacobi orthogonal polynomials

被引：7

作者：

Bouras, B. ^{[1
]}

机构：

[1] Sidi Ahmed Zarroug, Fac Sci Gafsa, Gafsa, Tunisia

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2007年 / 18卷 / 10期

关键词：

orthogonal polynomials; recurrence coefficients; semi-classical polynomials;

D O I：

10.1080/10652460701445666

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, by evaluating a new Hankel determinant of order n, we give explicitly the recurrence coefficients of a symmetric semi-classical sequence of polynomials of class s <= 2. Then, by using the quadratic decomposition of such sequence, we give a nonsymmetric semi-classical sequence of polynomials of class (s) over tilde <= 1 generalizing the Jacobi polynomial sequence.

引用

页码：715 / 730

页数：16

共 50 条

[1] GENERALIZED RAYLEIGH AND JACOBI PROCESSES AND EXCEPTIONAL ORTHOGONAL POLYNOMIALS
Chou, C. -I.
Ho, C. -L.
[J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2013, 27 (24):
[2] GENERALIZED JACOBI WEIGHTS, CHRISTOFFEL FUNCTIONS, AND ZEROS OF ORTHOGONAL POLYNOMIALS
ERDELYI, T
NEVAI, P
[J]. JOURNAL OF APPROXIMATION THEORY, 1992, 69 (02) : 111 - 132
[3] Relativistic orthogonal polynomials are Jacobi polynomials
Ismail, MEH
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1996, 29 (12): : 3199 - 3202
[4] Uniform Asymptotics of Derivatives of Orthogonal Polynomials Based on Generalized Jacobi Weights
P. Vértesi
[J]. Acta Mathematica Hungarica, 1999, 85 : 97 - 130
[5] Uniform asymptotics of derivatives of orthogonal polynomials based on generalized Jacobi weights
Vértesi, P
[J]. ACTA MATHEMATICA HUNGARICA, 1999, 85 (1-2) : 97 - 130
[6] Generalized Fractional Calculus Operators Involving the Product Of the Jacobi Type Orthogonal Polynomials And Multivariable Polynomials
Suthar, D. L.
Tilahun, Kelelaw
Oli, Abdi
[J]. APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, 2020, 15 (01): : 565 - 581
[7] CLASSICAL AND GENERALIZED JACOBI POLYNOMIALS ORTHOGONAL WITH DIFFERENT WEIGHT FUNCTIONS AND DIFFERENTIAL EQUATIONS SATISFIED BY THESE POLYNOMIALS
Marcokova, Mariana
Guldan, Vladimir
[J]. PROCEEDINGS OF EQUADIFF 2017 CONFERENCE, 2017, : 287 - 294
[8] Strong asymptotics of the recurrence coefficients of orthogonal polynomials associated to the generalized Jacobi weight
Vanlessen, M
[J]. JOURNAL OF APPROXIMATION THEORY, 2003, 125 (02) : 198 - 237
[9] Exceptional Hahn and Jacobi orthogonal polynomials
Duran, Antonio J.
[J]. JOURNAL OF APPROXIMATION THEORY, 2017, 214 : 9 - 48
[10] Orthogonal polynomials: From jacobi to Simon
Golinskii, Leonid
Totik, Vilmos
[J]. SPECTRAL THEORY AND MATHEMATICAL PHYSICS: A FESTSCHRIFT IN HONOR OF BARRY SIMON'S 60TH BIRTHDAY: ERGODIC SCHRODINGER OPERATORS, SINGULAR SPECTRUM, ORTHOGONAL POLYNOMIALS, AND INVERSE SPECTRAL THEORY, 2007, 76 : 821 - +

← 1 2 3 4 5 →