杂技演员
发表于 2025-3-21 17:45:16
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残暴
发表于 2025-3-21 22:53:54
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物质
发表于 2025-3-22 01:15:26
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过时
发表于 2025-3-22 07:50:50
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规范就好
发表于 2025-3-22 09:50:39
Preliminaries on Symmetric Functions,In this section, we recall some basic material on symmetric functions as preliminaries to the theory of Schur functions and Macdonald polynomials.
高深莫测
发表于 2025-3-22 16:33:33
,Macdonald Polynomials: Definition and Examples,The Macdonald polynomials are defined as eigenfunctions of the Macdonald–Ruijsenaars .-difference operator acting on the ring of symmetric polynomials. We also investigate some special cases where Macdonald polynomials can be explicitly described, including the case of single rows.
严厉批评
发表于 2025-3-22 21:01:14
,Orthogonality and Higher-Order ,-Difference Operators,We show that the Macdonald polynomials satisfy the orthogonality relation with respect to a certain scalar product on the ring of symmetric polynomials. We also explain how this orthogonality is related with the existence of commuting family of higher-order .-difference operators for which Macdonald polynomials are joint eigenfunctions.
使高兴
发表于 2025-3-23 00:40:41
https://doi.org/10.1007/978-981-99-4587-0symmetric functions; q-difference equation; q-orthogonal polynomial; quantum integrable system; Macdonal
停止偿付
发表于 2025-3-23 02:12:36
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发表于 2025-3-23 06:26:26
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