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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On multiple Appell polynomials


Author: D. W. Lee
Journal: Proc. Amer. Math. Soc. 139 (2011), 2133-2141
MSC (2000): Primary 33C45, 42C05
Published electronically: November 24, 2010
MathSciNet review: 2775391
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Abstract: In this paper, we first define the multiple Appell polynomials and find several equivalent conditions for this class of polynomials. Then we give a characterization theorem that if multiple Appell polynomials are also multiple orthogonal, then they are the multiple Hermite polynomials.


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Additional Information

D. W. Lee
Affiliation: Department of Mathematics, Teachers College, Kyungpook National University, Daegu 702-701, South Korea
Email: dongwon@mail.knu.ac.kr

DOI: http://dx.doi.org/10.1090/S0002-9939-2010-10648-2
PII: S 0002-9939(2010)10648-2
Received by editor(s): December 21, 2009
Received by editor(s) in revised form: May 31, 2010, and June 11, 2010
Published electronically: November 24, 2010
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.