On multiple Appell polynomials
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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.References
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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
- 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
- © Copyright 2010
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 139 (2011), 2133-2141
- MSC (2000): Primary 33C45, 42C05
- DOI: https://doi.org/10.1090/S0002-9939-2010-10648-2
- MathSciNet review: 2775391