A CLASS OF ORTHOGONAL FUNCTIONS GIVEN BY A THREE TERM RECURRENCE FORMULA

Author(s)

Bracciali, C. F. ^[1] ; McCabe, J. H. ^[2] ; Perez, T. E. ^[3] ; Ranga, A. Sri ^[1]

Affiliation

^[1] Univ Estadual Paulista, UNESP, IBILCE, Dept Matemat Aplicada, BR-15054000 Sao Jose Do Rio Preto, SP - Brazil

^[2] Univ St Andrews, Sch Math, Dept Appl Math, St Andrews KY16 9AJ, Fife - Scotland

^[3] Univ Granada, Dept Matemat Aplicada, E-18071 Granada - Spain

• Document type: Journal article
• Source: Mathematics of Computation; v. 85, n. 300, p. 1837-1859, JUL 2016.
• Web of Science Citations: 6

Abstract

We present a class of functions satisfying a certain orthogonality property for which there also exists a three term recurrence formula. This class of functions, which can be considered as an extension to the class of symmetric orthogonal polynomials on {[}- 1, 1], has a complete connection to the orthogonal polynomials on the unit circle. Interpolatory properties, quadrature rules and other properties based on the zeros of these functions are also considered. (AU)

• FAPESP's process: 09/13832-9 - Orthogonal polynomials, special functions and applications
• Grantee: Dimitar Kolev Dimitrov
• Support Opportunities: Research Projects - Thematic Grants