Journal article
Two classes of special functions using fourier transforms of some finite classes of classical orthogonal polynomials



Publication Details
Authors:
Koepf, W.; Masjed-Jamei, M.
Publication year:
2007
Journal:
Proceedings of the American Mathematical Society
Pages range:
3599-3606
Volume number:
135
Start page:
3599
End page:
3606
ISSN:
0002-9939

Abstract
Some orthogonal polynomial systems are mapped onto each other by the Fourier transform. The best-known example of this type is the Hermite functions, i. e., the Hermite polynomials multiplied by exp(-x(2)/ 2), which are eigenfunctions of the Fourier transform. In this paper, we introduce two new examples of finite systems of this type and obtain their orthogonality relations. We also estimate a complicated integral and propose a conjecture for a further example of finite orthogonal sequences.


Research Areas


Last updated on 2019-01-11 at 16:05