d-ORTHOGONAL POLYNOMIAL SETS OF CHEBYSHEV TYPE

被引：11
|
作者：
Ben Cheikh, Y. [1 ]
Ben Romdhane, N. [2 ]
机构：
[1] Fac Sci Monastir, Dept Math, Monastir 5019, Tunisia
[2] Inst Prkparatoire Etudes Ingknieur Monastir, Dept Preparat Math Phys, Monastir 5019, Tunisia
来源：
DIFFERENCE EQUATIONS, SPECIAL FUNCTIONS AND ORTHOGONAL POLYNOMIALS | 2007年
关键词：
Generating functions; d-orthogonal polynomials; d-symmetric polynomials; associated polynomials; integral representations;
D O I：
10.1142/9789812770752_0008
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we characterize all d-orthogonal polynomial sets generated by functions of the type A(t)/1-xC(t)=Sigma(infinity)(n=0) p(n)(x)t(n), where A and C are two formal power series satisfying A(0) = C'(0) = 1 and C(0) = 0. We, also, determine the corresponding d-dimensional functional vector of the obtained polynomial sets and we produce the d-orthogonal Chebyshev polynomials of the first kind.
引用
收藏
页码：100 / +
页数：3
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