Orthogonal Polynomials On Ellipses And Their Recurrence Relations

Demonstratio mathematica

article

Vasile Lauric¹ 

[1] DEPARTMENT OF MATHEMATICS FLORIDA A&M UNIVERSITY TALLAHASSEE

关键词: orthogonal polynomials on ellipses;    recurrence relations;    Hessenberg matrix;   

DOI  :  10.2478/dema-2014-0011

学科分类：外科医学

来源: De Gruyter

【 摘 要 】

In this note we study the connection between orthogonal polynomials on an ellipse and orthogonal Laurent polynomials on the unit circle relative to some multiplicative measures and then establish the recurrence relations for orthogonal polynomials on an ellipse. The matrix representation of the operator of multiplication by coordinate function is obtained.

【 授权许可】

CC BY