New integral identities for orthogonal polynomials on the real line

Author:
D. S. Lubinsky

Journal:
Proc. Amer. Math. Soc. **139** (2011), 1743-1750

MSC (2010):
Primary 42C05

Published electronically:
October 18, 2010

MathSciNet review:
2763762

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Abstract | References | Similar Articles | Additional Information

Abstract: Let be a positive measure on the real line, with associated orthogonal polynomials and leading coefficients . Let . We prove that for and all polynomials of degree ,

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Additional Information

**D. S. Lubinsky**

Affiliation:
School of Mathematics, Georgia Institute of Technology, Atlanta, Georgia 30332-0160

Email:
lubinsky@math.gatech.edu

DOI:
https://doi.org/10.1090/S0002-9939-2010-10601-9

Keywords:
Orthogonal polynomials on the real line,
Geronimus type formula,
Poisson integrals

Received by editor(s):
March 23, 2010

Received by editor(s) in revised form:
May 21, 2010

Published electronically:
October 18, 2010

Additional Notes:
This research was supported by NSF grant DMS1001182 and U.S.-Israel BSF grant 2008399

Communicated by:
Walter Van Assche

Article copyright:
© Copyright 2010
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.