dorsal/arxiv
View SchemaA_2 Macdonald polynomials: a separation of variables
| Authors | V. V. Mangazeev |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9512003 |
| URL | https://arxiv.org/abs/q-alg/9512003 |
Abstract
In this paper we construct a discrete linear operator $K$ which transforms $A_2$ Macdonald polynomials into the product of two basic $3\phi_2$ hypergeometric series with known arguments. The action of the operator $K$ on power sums in two variables can be reduced to a generalization of one particular case of the Bailey's summation formula for a very-well-poised $6\psi_6$ series. We also propose the conjecture for a transformation of $6\psi_6$ series with different arguments.
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"abstract": "In this paper we construct a discrete linear operator $K$ which transforms\n$A_2$ Macdonald polynomials into the product of two basic $3\\phi_2$\nhypergeometric series with known arguments. The action of the operator $K$ on\npower sums in two variables can be reduced to a generalization of one\nparticular case of the Bailey\u0027s summation formula for a very-well-poised\n$6\\psi_6$ series. We also propose the conjecture for a transformation of\n$6\\psi_6$ series with different arguments.",
"arxiv_id": "q-alg/9512003",
"authors": [
"V. V. Mangazeev"
],
"categories": [
"q-alg",
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"title": "A_2 Macdonald polynomials: a separation of variables",
"url": "https://arxiv.org/abs/q-alg/9512003"
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