Polynomials orthogonal over a denumerable set

Jack L. Goldberg

Vol. 15 (1965), No. 4, 1171–1186

DOI: 10.2140/pjm.1965.15.1171

Abstract

This paper concerns itself with characterizing the orthogonality domain and the distribution function for polynomials which satisfy

(1.1)

with

(1.2)

under the restriction a_n = 0, b_n > 0 (n ≧ 0) and limb_n = 0.

Mathematical Subject Classification

Primary: 33.40

Milestones

Received: 12 June 1964

Published: 1 December 1965