A Conjecture about Raising Operators for Macdonald Polynomials

被引：0

作者：

Jun’ichi Shiraishi

机构：

[1] University of Tokyo,Graduate School of Mathematical Science

来源：

Letters in Mathematical Physics | 2005年 / 73卷

关键词：

Macdonald polynomials; raising operators; basic hypergeometric series;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We present a conjecture giving Macdonald polynomials as an hypergeometric-type series in terms of raising operators. It is proved that this conjecture agrees with Jing and Józefiak’s expression in the two-row case, and with Lassalle and Schlosser’s formula in the three-row case.

引用

页码：71 / 81

页数：10

共 5 条

[1]

Jing N. H.(1992)A formula for two-row Macdonald functions Duke Math. J. 67 377-385

[2]

Józefiak T.(2001)Explicitation des polynômes de Jack et de Macdonald en longueur trois C. R. Math. Acad. Sci. Paris 333 505-508

[3]

Lassalle M.(2003)An analytic formula for Macdonald polynomials C. R. Math. Acad. Sci. Paris 337 569-574

[4]

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[5]

Schlosser M.(undefined)undefined undefined undefined undefined-undefined

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