期刊
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
卷 140, 期 6, 页码 2053-2063出版社
AMER MATHEMATICAL SOC
DOI: 10.1090/S0002-9939-2011-11063-3
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资金
- IPM [89330021]
- Bonyade Mellie Nokhbegan [PM/1184]
Some orthogonal polynomial systems are mapped onto each other by the Fourier transform. Motivated by the paper [H. T. Koelink, On Jacobi and continuous Hahn polynomials, Proc. Amer. Math. Soc., 124 (1996) 887-898], in this paper we introduce two new classes of orthogonal functions, which are respectively Fourier transforms of the generalized ultraspherical polynomials and generalized Hermite polynomials, and then obtain their orthogonality relations using Parseval's identity.
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