Orthogonality with respect to a Jacobi differential operator and applications

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:404

Article

Borrego-Morell, J.¹  Pijeira-Cabrera, H.¹ 

[1] Univ Carlos III Madrid, E-28903 Getafe, Spain

关键词: Orthogonal polynomials;    Zero location;    Asymptotic behavior;    Ordinary differential operators;    Hydrodynamic;   

DOI  :  10.1016/j.jmaa.2013.03.041

来源: Elsevier

【 摘 要 】

Let p, be a finite positive Borel measure on [-1, 1], m a fixed natural number and L-(alpha,L-beta)[f]= (1-x(2))f ''+ (beta - alpha - (alpha + beta + 2)x)f', with alpha, beta > -1. We study algebraic and analytic properties of the sequence of monic polynomials (Q)(n>m) that satisfy the orthogonality relations integral L-(alpha,L-beta)[Q(n)](x)x(k)d mu(x) = 0 for all 0 <= k <= n - 1 A fluid dynamics model for source points location of a flow of an incompressible fluid with preassigned stagnation points is also considered. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free