Inner products involving differences:: The Meixner-Sobolev polynomials

被引：10
|
作者：
Area, I
Godoy, E
Marcellán, F
机构：
[1] Univ Vigo, ETSI Ind & Minas, Dept Mat Aplicada, Vigo 36200, Spain
[2] Univ Carlos III Madrid, Escuela Politecn Super, Dept Matemat, Madrid 28911, Spain
来源：
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2000年 / 6卷 / 01期
关键词：
Meixner polynomials; Sobolev orthogonal polynomials; difference operators; Pollaczek polynomials; zeros of orthogonal polynomials; polynomial approximation;
D O I：
10.1080/10236190008808211
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, polynomials which are orthogonal with respect to the inner product [p, q](S) = Sigma(s=0)(infinity)p(s)q(s) (mu(s)Gamma(gamma + s))/(Gamma(s + 1)Gamma(gamma)) + lambda Sigma(s=0)(infinity)Delta p(s)Delta q(s) (mu(s)Gamma(gamma + s))/(Gamma(s + 1)Gamma(gamma)), where 0 < mu < 1, gamma > 0 and lambda greater than or equal to 0 are studied. For these polynomials, algebraic properties and difference equations are obtained as well as their relation with the Meixner polynomials. Moreover, some properties about the zeros of these polynomials are deduced.
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页码：1 / 31
页数：31
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