Integral representations of the Macdonald symmetric polynomials
β Scribed by H. Awata; S. Odake; J. Shiraishi
- Publisher
- Springer
- Year
- 1996
- Tongue
- English
- Weight
- 820 KB
- Volume
- 179
- Category
- Article
- ISSN
- 0010-3616
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π SIMILAR VOLUMES
We give representations of the Wilson polynomials and the continuous dual Hahn polynomials in terms of multidimensional generalizations of Barnes type integrals. Motivation is to study the Barnes type integrals from the viewpoint of the de Rham theory and holonomic systems.
The Hermite polynomials The Andrews-Askey integral The Leibniz rule for the q-difference operator a b s t r a c t We use the Andrews-Askey integral and the Leibniz rule for the q-difference operator to give the q-integral representation of the Al-Salam-Carlitz polynomials, which includes the q-inte