Aufsatz in einer Fachzeitschrift
Two classes of special functions using fourier transforms of some finite classes of classical orthogonal polynomials



Details zur Publikation
Autor(inn)en:
Koepf, W.; Masjed-Jamei, M.
Publikationsjahr:
2007
Zeitschrift:
Proceedings of the American Mathematical Society
Seitenbereich:
3599-3606
Jahrgang/Band:
135
Erste Seite:
3599
Letzte Seite:
3606
ISSN:
0002-9939

Zusammenfassung, 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.


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Zuletzt aktualisiert 2019-01-11 um 16:05