AN INTEGRAL-REPRESENTATION OF EIGENFUNCTIONS FOR MACDONALDS Q-DIFFERENCE OPERATORS

Authors
MIMACHI K NOUMI M
Citation
K. Mimachi et M. Noumi, AN INTEGRAL-REPRESENTATION OF EIGENFUNCTIONS FOR MACDONALDS Q-DIFFERENCE OPERATORS, Tohoku Mathematical Journal, 49(4), 1997, pp. 517-525
Citations number
4
Journal title
Tohoku Mathematical Journal → ACNP
ISSN journal
00408735
Volume
49
Issue
4
Year of publication
1997
Pages
517 - 525
Database
ISI
SICI code
0040-8735(1997)49:4<517:AIOEFM>2.0.ZU;2-3
Abstract
We give the eigenfunctions for Macdonald's q-difference operators in t erms of q-Selberg type integrals. Our result can be applied not only t o the case of Macdonald symmetric polynomials but also to the cases of rational and meromorphic solutions.